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?

Answer 1

We have 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.

The number of ways of selecting a cricket eleven from 17 with 4 bowlers from 5 players = ⁵C₄ × ¹²C₇ 

= 990 × 4 

= 3960