Factorial Simplification

Algebra Level 3

The expression \(\dfrac{1}{1!\cdot 9!} +\dfrac{1}{3!\cdot 7!} + \dfrac{1}{5!\cdot 5!} + \dfrac{1}{7!\cdot 3!} + \dfrac{1}{9!\cdot 1!}\) can be expressed in the form \(\dfrac{2^a}{b!}\) where \(a,b\) are positive integers. Find the value of \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...