Convert the following products into factorial: `(n+1)(n+2)(n+3).......(2n)`

Explanation

To convert the product \((n+1)(n+2)(n+3)\ldots(2n)\) into factorial form, we can follow these steps:

### Step-by-step Solution:

1. **Identify the Product Range**: The product starts from \(n+1\) and goes up to \(2n\). We need to express this product in terms of factorials.

2. **Write the Full Factorial**: The product \((n+1)(n+2)(n+3)\ldots(2n)\) can be seen as part of the factorial of \(2n\). Specifically, it is the product of all integers from \(1\) to \(2n\) but excluding the integers from \(1\) to \(n\).

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