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Algebra

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Moderate

Permutations and Combinations 15

ALGEBR-MPWKCE

A college has $10$ basketball players. A $5$-member team will be selected out of those $10$ players. Then $1$ player from the remaining team members will be chosen to serve as captain.

How many different selections can be made in filling the roster and captain?

A

$120$

B

$252$

C

$1260$

D

$151,200$