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?

1260

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210

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¹⁰C₆×6!

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¹⁰C₄× 6

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Solution

The correct option is D
¹⁰C₄× 6

A 4-member team can be selected in $^{10}$ C $_{4}$ ways. Now as the captain is non-playing he needs to be selected from the remaining 6 players.

Therefore final answer is $^{10}$ C $_{4}$ $\times$ 6.

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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?

The correct option is D 10C4× 6A 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.

The correct option is D
¹⁰C₄× 6

A 4-member team can be selected in $^{10}$ C $_{4}$ ways. Now as the captain is non-playing he needs to be selected from the remaining 6 players.

Therefore final answer is $^{10}$ C $_{4}$ $\times$ 6.