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It is possible for the captain and the goalkeeper to be the same person. This changes the probability very significantly. There is nothing in the question to indicated that this is or is not the case.

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โˆ™ 2014-04-30 16:53:13
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Q: What is the probability a captain and a goalkeeper will be among 5 players selected from eleven?
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Related questions

What players helps the goalkeeper?

Defenders assist the goalkeeper.

A college has 10 basketball players a 5 member team and a captain will be selected out of these 10 playershow many different selections can be made?

Explanatory AnswerA team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.Now, the captain can be selected from these 6 players in 6 ways.Therefore, total ways the selection can be made is 210*6 = 1260.Alternatively, we can select the 5 member team out of the 10 in 10C5 ways = 252 ways.The captain can be selected from amongst the remaining 5 players in 5 ways.Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.

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