If `.^(n)C_(8)=.^(n)C_(6)`, find `.^(n)C_(3)`.

Explanation

To solve the problem where \( \binom{n}{8} = \binom{n}{6} \) and we need to find \( \binom{n}{3} \), we can follow these steps:

### Step 1: Use the property of combinations
We know that if \( \binom{n}{x} = \binom{n}{y} \) for \( x \neq y \), then:
\[ n = x + y \]
In our case, \( x = 8 \) and \( y = 6 \).
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