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Question
A college has 10 tennis players. A 4-member team has to be selected and a non-playing captain will be selected out of the remaining players. How many different selections can be made?
Options:
A .  1260
B .  210
C .  10C4 × 6!
D .  10C4 × 6
Answer: Option D
:
D
A 4-member team can be selected in 10C4ways. Now as the captain is non-playing he needs to be selected from the remaining 6 players.
Therefore final answer is 10C4× 6.

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