Question 14
Let $a,$ $b,$ $c,$ $d,$ and $e$ be distinct integers such that
$$
\begin{aligned} &(6-a)(6-b)(6-c) \\ &\quad {}\cdot(6-d)(6-e) \\ &=45. \end{aligned}
$$
What is $a+b+c+d+e?$
$$
\begin{aligned} &(6-a)(6-b)(6-c) \\ &\quad {}\cdot(6-d)(6-e) \\ &=45. \end{aligned}
$$
What is $a+b+c+d+e?$