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

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made? Correct Answer 1260

A 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

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