In how many ways a Captain, Vice Captian and Wicket Keeper can be selected from a group of 11 cricketers.

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Prashanth Kannadaguli

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Captain can be selected in 11 C 1 ways. after selecting Captain ,Vicecaptain can be selested in 10 C 1 ways and afterth is Wicket Keeper can be selected in 9 C 1 ways. Therefore required no. Of ways= 11C1 * 10C1 * 9C1 =11 * 10 * 9
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1210
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990 ways in which they could be selected
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It is Selection. Therefore we use Combination. 3 person from a group of 11 can be selected in 11C3 ways. 11C3= 11*10*9/3!=165 ways.
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11x10x9 = 990
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Out is 11 cricketers captain will be 1 so he can be selected in 11 ways, after captain is selected 10 cricketers are left so vice captain can be selected in 10 ways, after that 9 players will be left, so he can be selected in 9 ways. so ans is 11*10*9=990 ways
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11*10*9 990
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165
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