In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket-keepers. How

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6.Permutation and Combination

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In a touring cricket team there are $16$ players in all including $5$ bowlers and $2$ wicket-keepers. How many teams of $11$ players from these, can be chosen, so as to include three bowlers and one wicket-keeper

A

$650$

B

$720$

C

$750$

D

$800$

Solution

(b) Required number of ways

= $^5{C_3}{ \times ^2}{C_1}{ \times ^9}{C_7}$

$ = 10 \times 2 \times 36 = 720$

Standard 11

Mathematics

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