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

The Indian Cricket team consists of 16 players. It includes 2 wicket keepersand 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1wicket keeper and atleast 4 bowlers? Correct Answer 1092

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

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