Out of 13 cricket players,4 are bowlers. In h | vedclass

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Question

(C) Total players = $13$,Bowlers = $4$,Non-bowlers = $9$. We need to select $11$ players including at least $2$ bowlers.Case $1$: $2$ bowlers and $9$

Vedclass · Accepted Answer

$78$

Vedclass · Answer

(C) Total players = $13$,Bowlers = $4$,Non-bowlers = $9$. We need to select $11$ players including at least $2$ bowlers.Case $1$: $2$ bowlers and $9$ non-bowlers$= ^4C_2 	imes ^9C_9 = 6 	imes 1 = 6$Case $2$: $3$ bowlers and $8$ non-bowlers$= ^4C_3 	imes ^9C_8 = 4 	imes 9 = 36$Case $3$: $4$ bowlers and $7$ non-bowlers$= ^4C_4 	imes ^9C_7 = 1 	imes 36 = 36$Total number of ways = $6 + 36 + 36 = 78$.

Out of $13$ cricket players,$4$ are bowlers. In how many ways can a cricket team of $11$ players be formed such that at least $2$ bowlers are included?

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