Find the total number of terms in the expansion of `1(1+x+y)^(10)` and cofficient of `x^2 y ^3`.

Explanation

To solve the problem, we need to find two things: the total number of terms in the expansion of \( (1 + x + y)^{10} \) and the coefficient of \( x^2 y^3 \) in that expansion.

### Step 1: Find the total number of terms in the expansion

The total number of terms in the expansion of \( (1 + x + y)^n \) can be determined using the formula:

\[
\text{Total number of terms} = \binom{n + r - 1}{r - 1}
...