There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowlers?

Step-by-step solution

3 bowlers are selected among 5 bowlers in ^5 C ₃ ways. Remaining 8 player's are selected from 12 player's in ¹² C ₈ ways. total number of ways = ¹² C ₈ ^5 C ₃ .