Join ExamsbookAnswer : 2. "168"
A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?5
Q: A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?
- 1210false
- 2168true
- 31260false
- 410!/6!false
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Answer : 2. "168"
Explanation :
Answer: B) 168 Explanation: we can select the 5 member team out of the 8 in 8C5 ways = 56 ways. The captain can be selected from amongst the remaining 3 players in 3 ways. Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways. (or) Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways. Now, the captain can be selected from these 6 players in 6 ways. Therefore, total ways the selection can be made is 28x6 = 168 ways.