
Factorial And Power Of 2
Problem
Given that $a$, $b$, and $c$ are positive intgers, solve the following equation.
$a$!$b$! = $a$! + $b$! + 2$c$
Problem ID: 215 (09 Mar 2005) Difficulty: 3 Star

Given that $a$, $b$, and $c$ are positive intgers, solve the following equation.
$a$!$b$! = $a$! + $b$! + 2$c$