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?

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