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Question

Mathematics Question on permutations and combinations

What is the value of nC0^nC_0 ?

A

0

B

\infty

C

1

D

none of these

Answer

1

Explanation

Solution

nC0=n!0!(n0)!=n!0!n!=n!n!=1^{n}C_{0} = \frac{n!}{0! \left(n-0\right)!} = \frac{n!}{0!n!} = \frac{n!}{n!} = 1