If `\ ^(2n)C_3:\ ^n C_2=44 :3`, find n

Explanation

To solve the problem \( \binom{2n}{3} : \binom{n}{2} = 44 : 3 \), we will follow these steps:

### Step 1: Set up the equation
We start by writing the equation based on the given ratio:
\[ \frac{\binom{2n}{3}}{\binom{n}{2}} = \frac{44}{3} \]

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