In how many ways can one select a cricket team of eleven from 13 players in which only 5 players can bowl. If each cricket team of 11 must include at least 4 bowlers.
68
There are two ways of selecting the team
I team consisting of 4 bowlers and 7 batsman
5C4 x 8C7 = 40
II team consisting of 5 bowlers and 6 batsman
5C5 x 8 C6 = 28
Total ways = 40+28=68