Factorial Equation
Problem
Given that $a$, $b$, and $c$ are positive integers, solve the following equation.
$a$!$b$! = $a$! + $b$! + $c$!
Problem ID: 216 (09 Mar 2005) Difficulty: 4 Star
Given that $a$, $b$, and $c$ are positive integers, solve the following equation.
$a$!$b$! = $a$! + $b$! + $c$!