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

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Question

(C) Total players = $13$,Bowlers = $4$,Others = $9$.We need to select a team of $11$ players with at least $2$ bowlers.The possible cases are:Case $1$

Vedclass · Accepted Answer

$78$

Vedclass · Answer

(C) Total players = $13$,Bowlers = $4$,Others = $9$.We need to select a team of $11$ players with at least $2$ bowlers.The possible cases are:Case $1$: $2$ bowlers and $9$ others: $\binom{4}{2} 	imes \binom{9}{9} = 6 	imes 1 = 6$.Case $2$: $3$ bowlers and $8$ others: $\binom{4}{3} 	imes \binom{9}{8} = 4 	imes 9 = 36$.Case $3$: $4$ bowlers and $7$ others: $\binom{4}{4} 	imes \binom{9}{7} = 1 	imes 36 = 36$.Total ways = $6 + 36 + 36 = 78$.

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

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