# SUM FUN

Algebra Level 4

A very interesting problem from one of my Math Worksheets:

$\displaystyle\sum_{k=1}^{2014} \dfrac{(k-1)k!}{2^k}$

equals to $$\frac{a!}{b^c}-1$$ for positive integers $$a,b,c$$. Find the value of $$a+b+c$$.

×