Q. 275.0( 1 Vote )

In how many ways can one select a cricket team of eleven from 17 players in which only 5 persons can bowl if each cricket team of 11 must include exactly 4 bowlers?

Given that we need to select 11 players out of available 17 players in which 5 players are bowlers.

It is also mentioned that each team should contain exactly 4 bowlers.

Let us assume the no. of ways of selection be N.

N = (no. of ways of selecting 4 bowlers out of 5) × (no. of ways of selecting 7 players from remaining 12 players)

N = (5C4) × (12C7)

We know that ,

And also n! = (n)(n – 1)......2.1

N = 5 × 792

N = 3960

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