Question

The Indian Cricket Team consists of 16 players. It includes 2 wicket keepers and 5
bowlers. In how many ways can a cricket 11 be selected if we have to select one wicket
keeper and at least 4bowlers

Answer 1

23Q:

The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and atleast 4 bowlers?

A) 1024

B) 1900

C) 2000

D) 1092

Answer: D) 1092

Explanation:

We are to choose 11 players including 1 wicket keeper and 4 bowlers or, 1 wicket keeper and 5 bowlers.

Number of ways of selecting 1 wicket keeper, 4 bowlers and 6 other players in 2C1*5C4*9C6 = 840

Number of ways of selecting 1 wicket keeper, 5 bowlers and 5 other players in 2C1*5C5*9C5 =252

Total number of ways of selecting the team = 840 + 252 = 1092