Plus and Minus Makes All the Differences
Number Theory
Level
1
Evaluate
\[\frac{(10!+9!)(8!+7!)(6!+5!)(4!+3!)(2!+1!)}{(10!-9!)(8!-7!)(6!-5!)(4!-3!)(2!-1!)} . \]
Hint: You don't need to multiply out all the factorials!
by
Curtis Clement