In how many ways te sum of upper faces of four distinct dices can be six.

Explanation

To solve the problem of finding the number of ways the sum of the upper faces of four distinct dice can equal six, we can follow these steps:

### Step 1: Define the Variables
Let \( x_1, x_2, x_3, x_4 \) be the numbers on the upper faces of the four distinct dice. We need to find the number of solutions to the equation:
\[ x_1 + x_2 + x_3 + x_4 = 6 \]
where \( 1 \leq x_i \leq 6 \) for \( i = 1, 2, 3, 4 \).
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