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There are 6 bowlers and 9 batsmen in a cricket club. In how many ways cana team of 11 be selected so that the team contains at least 4 bowlers?

There are 6 bowlers and 9 batsmen in a cricket club. In how many ways cana team of 11 be selected so that the team contains at least 4 bowlers? Correct Answer 1170

Possibilities     Bowlers      Batsmen         Number of ways

 

                         6               9

 

         1              4                7              (6C4*9C7)

 

         2              5                6              6C5*9C6

 

         3              6                5              6C6*9C5

 

6C4*9C7 = 15 x 36 = 540

 

6C5*9C6 = 6 x 84 = 504

 

 6C6*9C5= 1 x 126 = 126

 

Total = 1170

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