The Indian Cricket Team Consists Of 16 Players. It Includes 2 Wicket

1.	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?
Answer» 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 2C15C49C6= 840 Number of ways of selecting 1 wicket keeper, 5 bowlers and 5 other players in 2C15C59C5=252 Total number of ways of selecting the team = 840 + 252 = 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 2C15C49C6= 840 Number of ways of selecting 1 wicket keeper, 5 bowlers and 5 other players in 2C15C59C5=252 Total number of ways of selecting the team = 840 + 252 = 1092.

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?

Answer»

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.

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.