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Find the number of ways of selecting a cricket team of 11 players from 7 batsmen and 6 bowlers such that there will be at least 5 bowlers in the team.

Find the number of ways of selecting a cricket team of 11 players from 7 batsmen and 6
bowlers such that there will be at least 5 bowlers in the team.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Since the team consists of at least 5 bowlers, the selection may be of the following types.
Batsmen (7) Bowlers (6)
Type 1 6 5
Type 2 5 6
The number of selections in first type =6c5* 7c6 =42
The number of selections in second type=7c5*6c6=21
∴The required number of ways selecting the cricket team = 42 + 21 = 63.
Thanks and Regards
Shaik Aasif
askIITians faculty

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