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nCr Definitions and Properties

n P r ÷ n C r...

Question

$^{n} P_{r} \div^{n} C_{r}$ =

A

n!

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B

(n-r)!

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C

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D

r!

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Solution

The correct option is D
r!

On simplification you get required result.

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Similar questions

$^{n} P_{r} \div^{n} C_{r}$ =

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

, find n and r.

^{n} P_{r} =^{n} P_{r}_{+}_{1}

^{n} C_{r} =^{n} C_{r}_{-}_{1}

, then the values of n and r are:

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

, then the values of

n

r

Which of the following is/are true for $^{n} C_{r}$ ?

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nCr Definitions and Properties

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