Find the coefficient of `x^(4)` in the expansion of `(1+x+x^(2)+x^(3))^(11)`.

Explanation

To find the coefficient of \( x^4 \) in the expansion of \( (1 + x + x^2 + x^3)^{11} \), we can start by rewriting the expression in a more manageable form.

### Step 1: Rewrite the expression
The expression \( 1 + x + x^2 + x^3 \) can be factored as:
\[ 1 + x + x^2 + x^3 = \frac{1 - x^4}{1 - x} \]
Thus, we can rewrite the original expression:
...