If `.^(n)C_(8)=.^(n)C_(6)`, then find `.^(n)C_(2)`.

Explanation

To solve the problem where \( \binom{n}{8} = \binom{n}{6} \) and we need to find \( \binom{n}{2} \), we will follow these steps:

### Step 1: Write the equation using the formula for combinations
The formula for combinations is given by:
\[ \binom{n}{r} = \frac{n!}{r!(n-r)!} \]
Using this, we can express \( \binom{n}{8} \) and \( \binom{n}{6} \):
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