Lecture 4, Problem 4.29

I think the answer should be 44, but the answer says that it is 76. I got 44 because the answer is $\dfrac{5!}{0!} - \dfrac{5!}{1!} + \dfrac{5!}{2!} - \dfrac{5!}{3!} + \dfrac{5!}{4!} - \dfrac{5!}{5!}$. I think I'm right, and the answer should be 44.