A team of 8 players is to be chosen from a group of 12 players. Out of the 8 players one is to be elected as captain and another an, vice-captain. In how many ways can this is done? (A) 27720(B) 13860 (C) 6930 (D) 495

A team of 8 players is to be chosen from a group of 12 players. Out of

1.	A team of 8 players is to be chosen from a group of 12 players. Out of the 8 players one is to be elected as captain and another an, vice-captain. In how many ways can this is done? (A) 27720(B) 13860 (C) 6930 (D) 495
Answer» Number of ways selecting `8` players out of `12` players `= C(12,8)` Number of ways selecting `1` captain out of `8` selected players `= C(8,1)` Number of ways selecting `1` vice-captain out of `7` remaining players `= C(7,1)` So, total number of ways to do all above selection `= C(12,8)C(8,1)C(7,1) = (1211109)/(432)87 = 49556 = 27720`

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A team of 8 players is to be chosen from a group of 12 players. Out of the 8 players one is to be elected as captain and another an, vice-captain. In how many ways can this is done? (A) 27720(B) 13860 (C) 6930 (D) 495

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