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The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions:
  1. On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers.
  2. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11.
  3. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers.
  4. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively.
  5. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays.
  6. At most two out of Virat, Rahul and Shreyas can play at any given time.
  7. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners.
  8. Exactly one out of Mayank and Virat must play in the team.
  9. Exactly one among Rishabh and Sanju gets a place in the playing 11.
  10. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.
The 15 man squad selected are:
Q. Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?
    Correct answer is '25'. Can you explain this answer?
    Verified Answer
    The Indian Cricket team is gearing up for the upcoming world cup. Coac...
    Selecting 3 spinners and 2 fast bowlers
    On a spinning track, the coach selects 3 spinners and 2 fast bowlers.
    Since, Spinners> Fast bowlers, we will have Sanju as our wicket keeper.
    Spinners: Pandya, Ashwin and Chahal are the only three spinners and they all have to play.
    Fast bowlers: We have to select 2 fast bowlers among Bhuvi, Shami, Bumrah and Jadeja.
    Case 1: Bumrah/ Shami is selected.
    In this case, we have to select one more fast bowler among Jadeja and Bhuvi. So, (Bumrah/ Shami) and (Bhuvi/ Jadeja) are selected in 4 ways.
    Case 2: None of Bumrah and Shami is selected.
    In this case, we will have to go with the remaining 2 bowlers. This can be done only in 1 way.
    Till this point, we already have selected 6 players( 1 WK, 2 fast bowlers and 3 spinners).
    Remaining 5 players have to be the batsman. We have 6 proper batsmen.
    Batsman: Out of the 6 batsman, when we select 5, we are eliminating 1 batsman. This batsman can either be Virat or Mayank. Rest 4 have to play in the match. This can be done in 2 ways. But if Mayank does not play, Kohli does, we will have Kohli, Rahul and Shreyas playing together, which will contradict the clue given in point 6. So, the 5 batsman can only be selected with Virat not playing of the 6 batsman. So, only 1 case satisfies the given condition.
    Now, 3 spinners, 2 fast bowlers, 1 Wicket keeper and 5 batsman can be selected in 1×(4+1)×(1)×(1)=5  ways.
    Selecting 3 spinners and 3 fast bowlers-
    Wicket keeper : Since, fast bowlers= Spinners, it can either be Sanju or Rishabh who can be selected for wicket keeping. -- 2 ways.
    Spinners: In total, we only have 3 spinners. .'. Selecting 3 spinners from 3 spinners can be done in 1 way.
    Fast bowlers: We have 4 fast bowlers including Jadeja and have to select 3 among them. This can only be done by eliminating either of Shami or Bumrah as both of them cannot play together. So, there are 2 ways of selecting the fast bowlers.
    We have already selected 7 players (3 spinners, 3 fast bowlers and 1 wicket keeper). We are left with selecting 4 batsman out of the 6 batsmen.
    Case 1: Virat is selected-
    Mayank cannot be selected. We cannot select only 1 player among Virat, Rahul and Shreyas. This case will select a maximum of only 3 batsman (Rohit and Dhawan being the other two).
    So, both Rohit, Dhawan and 1 more among Rahul and Shreyas is to be selected. This can be done in 2 ways- Selecting either of Rahul or Shreyas.
    Case 2: Mayank plays and Virat does not-
    (i) Rohit and Dhawan together- We already have 3 batsman now. We need to select 1 among Rahul and Shreyas.- 2 ways.
    (ii) Selecting Dhawan and not Rohit- We have 2 batsman now and need 2 more. This is done in only 1 way by selecting both Rahul and Shreyas.
    (iii) Neither Rohit nor Dhawan- We have only 1 batsman and we cannot select all the three among Virat, Shreyas and Rahul. So, 0 possibilities here.
    In total, we have 3 spinners, 3 fast bowlers, 1 wicket keeper and 4 batsman selected in 1×2×2×(2+2+1)=20  ways.
    '.' 4 fast bowlers cannot play together (Shami and Bumrah cannot play together), we have in total 5+20= 25 ways of forming the team.
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    The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer?
    Question Description
    The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer?.
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At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer?, a detailed solution for The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? has been provided alongside types of The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions: On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays. At most two out of Virat, Rahul and Shreyas can play at any given time. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners. Exactly one out of Mayank and Virat must play in the team. Exactly one among Rishabh and Sanju gets a place in the playing 11. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.The 15 man squad selected are:Q.Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?Correct answer is '25'. Can you explain this answer? tests, examples and also practice CAT tests.
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