If `\ ^n C_(12)=\ \ ^n C_5,\ ` find the value of `n`

Explanation

To solve the equation \( \binom{n}{12} = \binom{n}{5} \), we will use the property of combinations that states \( \binom{n}{r} = \binom{n}{n-r} \).

### Step-by-Step Solution:

1. **Use the property of combinations**:
\[ \binom{n}{12} = \binom{n}{n-12} \]
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