If `.^(n)C_(9)=.^(n)C_(7)`, find n.

Explanation

To solve the equation \( \binom{n}{9} = \binom{n}{7} \), we can use the property of combinations that states:

\[ \binom{n}{r} = \binom{n}{n-r} \]

This means that \( \binom{n}{9} = \binom{n}{n-9} \) and \( \binom{n}{7} = \binom{n}{n-7} \).

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