Question:
A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is
A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is
Updated On: Oct 1, 2024
- 20790
- 6930
- 10790
- 360
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The Correct Option is A
Solution and Explanation
The correct option is (A): 20790
Explanation: There are 6 bowlers, 3 wicket keepers and 11 batsman in all. The number of ways in which a team of 4 bowlers, 2 wicket keepers and 5 batsman can be chosen
=\(C_4^6\times C_2^3\times C\binom{11}{5}\)
=\(\frac{6\times5}{2\times1}\times\frac{3\times2}{2\times1}\times\frac{11\times10\times9\times8\times7}{5\times4\times3\times2\times1}\)
\(=15 × 3 × 462 = 20790\)
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