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Question

Mathematics Question on permutations and combinations

What is the value of nP0^nP_0?

A

0

B

1

C

\infty

D

12\frac{1}{2}

Answer

1

Explanation

Solution

nP0=n!(n0)!=n!n!=1^{n}P_{0} = \frac{n!}{\left(n-0\right)!} = \frac{n!}{n!} = 1