If `.^(2n)C_(3):^(n)C_(3)=11:1`, find the value of n.

Explanation

To solve the problem where \(\binom{2n}{3} : \binom{n}{3} = 11 : 1\), we will follow these steps:

### Step 1: Write the equation based on the given ratio
We start with the ratio:
\[ \frac{\binom{2n}{3}}{\binom{n}{3}} = \frac{11}{1} \]

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