In how many ways can one select a cricket team of eleven from 17 players in which only 5 players - Maths - Permutations and Combinations

Question

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?

Gopal Mohanty · Accepted Answer

Out of 17 players, 5 players are bowlers A cricket team of 11 players is to be selected in such a way that there are exactly 4 bowlers 4 bowlers can be selected in

ways and the remaining 7 players can be selected out of the 12 players in

ways Thus, by multiplication principle, required number of ways of selecting cricket team

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?