, 2021

The number $840$ can be written as $\frac{p!}{q!}$, where $p$ and $q$ are positive integers less than $10$. What is the value of $p + q$? Note that, $n! = 1 \times 2 \times 3 \times \cdots \times (n-1) \times n$.

(A) $8$ (B) $9$ (C) $10$ (D) $12$ (E) $15$