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We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.?
Most Upvoted Answer
We have to choose Eleven players for cricket team from eight Batsmen, ...
Problem statement:
We need to select a cricket team of eleven players from 8 batsmen, 6 bowlers, 4 all-rounders, and 2 wicketkeepers. Find the number of selections when a particular batsman and a particular wicketkeeper do not want to play together.
Solution:
To solve this problem, we need to first find the total number of ways to select 11 players from the given pool of 20 players. We can do this using the combination formula.
Step 1: Find the total number of ways to select 11 players from 20 players.
C(20,11) = 167,960
Step 2: Find the number of ways to select 11 players from 20 players when the particular batsman and wicketkeeper do not play together.
To do this, we need to first find the number of ways to select 10 players from the remaining 18 players (excluding the particular batsman and wicketkeeper who do not want to play together), and then add the number of ways to select either the particular batsman or the particular wicketkeeper, but not both.
Number of ways to select 10 players from the remaining 18 players = C(18,10) = 38,760
Number of ways to select either the particular batsman or the particular wicketkeeper, but not both = C(2,1) * C(18,10) = 77,520
Therefore, the total number of ways to select 11 players from 20 players when a particular batsman and wicketkeeper do not play together is:
C(18,10) + C(2,1) * C(18,10) = 116,280
Answer:
The number of selections when a particular batsman and a particular wicketkeeper do not want to play together is 116,280.
We need to select a cricket team of eleven players from 8 batsmen, 6 bowlers, 4 all-rounders, and 2 wicketkeepers. Find the number of selections when a particular batsman and a particular wicketkeeper do not want to play together.
Solution:
To solve this problem, we need to first find the total number of ways to select 11 players from the given pool of 20 players. We can do this using the combination formula.
Step 1: Find the total number of ways to select 11 players from 20 players.
C(20,11) = 167,960
Step 2: Find the number of ways to select 11 players from 20 players when the particular batsman and wicketkeeper do not play together.
To do this, we need to first find the number of ways to select 10 players from the remaining 18 players (excluding the particular batsman and wicketkeeper who do not want to play together), and then add the number of ways to select either the particular batsman or the particular wicketkeeper, but not both.
Number of ways to select 10 players from the remaining 18 players = C(18,10) = 38,760
Number of ways to select either the particular batsman or the particular wicketkeeper, but not both = C(2,1) * C(18,10) = 77,520
Therefore, the total number of ways to select 11 players from 20 players when a particular batsman and wicketkeeper do not play together is:
C(18,10) + C(2,1) * C(18,10) = 116,280
Answer:
The number of selections when a particular batsman and a particular wicketkeeper do not want to play together is 116,280.
Community Answer
We have to choose Eleven players for cricket team from eight Batsmen, ...
Here, if 1 particular batsmen let him be A and 1 particular wicketkeeper let him be B don't want to play together. then we can follow this method
total selections are = 20C11
remove the cases in which they play together that is already A and B are selected and remaining 9 players can be selected as = 18C9
so, total combinations are = 20C11 - 18C9
total selections are = 20C11
remove the cases in which they play together that is already A and B are selected and remaining 9 players can be selected as = 18C9
so, total combinations are = 20C11 - 18C9
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We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.?
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We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.?.
We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We have to choose Eleven players for cricket team from eight Batsmen, six bowler, four all rounder and two wicket keepers In the following conditions. Questions: Number of selection when a particular batsman and a particular Wicket keeper do not want to play together? This question where permutations and combination.?.
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