There are 17 cricket players out of which 5 players can bowl In how many ways can a team of 11 playe...........

Mathematics (NDA) Permutation & Combination

There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowlers?

C(17, 11)

C(12, 8)

C(17, 5) × (5, 3)

C(5, 3) × C(12, 8)

Total no of player=17
No of bowlers=5
3 bowlers out of 5 selected in C(5,3) ways and 8 players out of 12 players selected in C(12,8) ways.

Hence the required selection ways =C(5, 3) × C(12, 8)

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