NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 28
Total: 41
In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?
Solution:
Total players = 17, No. of bowlers = 5, No. of non-bowlers = 12
No. of ways of selecting 4 bowlers =
C 4
No. of ways of selecting 7 non-bowlers =
C 7
∴ Required no. of ways of selecting a cricket team =
C 4
C 7
=
×
No. of ways of selecting 4 bowlers =
No. of ways of selecting 7 non-bowlers =
∴ Required no. of ways of selecting a cricket team =
=
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