To solve the problem where \( \binom{n}{8} = \binom{n}{2} \), we will follow these steps:
### Step 1: Write the formula for combinations
The formula for combinations is given by:
\[
\binom{n}{r} = \frac{n!}{r!(n-r)!}
\]
Thus, we can write:
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(i) If ""^(n)C_(8)= ""^(n)C_(2) , find ""^(n)C_(2) . (ii) If ""^(n)C_(10)= ""^(n)C_(12) , determine n and hence ""^(n)C_(5) . (iii) If ""^(n)C_(9)= ""^(n)C_(8) , find ""^(n)C_(17) .