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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 10C4 ways. 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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