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Answer :

ANSWER:

1

STEP-BY-STEP EXPLANATION:

We have the following expression which is a combination:

[tex]_nC_n[/tex]

We apply the formula of the combination, as follows:

[tex]\begin{gathered} _nC_r=\frac{n!}{r!\left(n-r\right)!} \\ \\ r=n,\text{ therefore:} \\ \\ _nC_n=\frac{n!}{n!\left(n-n\right)!}=\frac{n!}{n!\cdot\:0!}=\frac{n!}{n!\cdot1}=1 \end{gathered}[/tex]

The answer after evaluating the expression is 1