Question

In how many ways can one select a cricket team of 11 from 14 players in which at least 2 bowlers are compulsory whereas only 4 players can bowl. How many ways this team can be formed?

Answer 1

The method of choosing 2 out of 4 bowlers is ⁴C₂ and the method of choosing 9 out of remains to players ¹⁰C₉. 

Similarly, we can find methods for 3 and 4 bowlers.

Hence, total number of ways to select 11 players out of 14 players