QuestionGiven $(a, b, c, d)$ is a set of integers and all of them are greater than 6 . Find the number of solution $\operatorname{set}(\mathrm{s})$ of $a+b+c+d=50$.

Studdy Solution
Calculate the binomial coefficient:
$$\binom{25}{3} = \frac{25 \times 24 \times 23}{3 \times 2 \times 1} = 2300.$$
The number of solutions is:
$\boxed{2300}$