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 You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?
  • a)
    960
  • b)
    840
  • c)
    420
  • d)
    252
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
You are selecting a cricket team of first 11 players out of 16 includi...
To form a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers, such that the team contains exactly 3 bowlers and 1 wicket keeper, we can follow the following steps:

Step 1: Select 3 bowlers out of 4 bowlers.
Number of ways to select 3 bowlers out of 4 = 4C3 = 4

Step 2: Select 1 wicket keeper out of 2 wicket keepers.
Number of ways to select 1 wicket keeper out of 2 = 2C1 = 2

Step 3: Select 7 players out of remaining 10 players.
Number of ways to select 7 players out of 10 = 10C7 = 120

Step 4: Arrange the selected 11 players in a team.
Number of ways to arrange 11 players = 11!

Therefore, the total number of ways to form a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers, such that the team contains exactly 3 bowlers and 1 wicket keeper can be calculated as follows:

4 x 2 x 120 x 11! = 960 x 11! = 5,311,040,000

Hence, the correct answer is option A) 960.
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You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?a)960b)840c)420d)252Correct answer is option 'A'. Can you explain this answer?
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You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?a)960b)840c)420d)252Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?a)960b)840c)420d)252Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?a)960b)840c)420d)252Correct answer is option 'A'. Can you explain this answer?.
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