Question

There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 player is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?

Answer 1

There are 22 cricket players, of which 3 are wicketkeepers and 5 are bowlers.

A team of 11 players is to be chosen such that exactly one wicket keeper and at least 4 bowlers are to be included in the team.

Consider the following table:

∴ Number of ways a team of 11 players can be selected

= 45045 + 6006

= 51051