(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For some natural N the no of positive integers x satisfying the equation

1! + 2! + 3! + ........ + x! = (N)^{2}is:

A)one

B)two

C)infinite

D)none

3. The attempt at a solution

I have no idea of how to start.. never came across such problems.

By trial i have got two values for x being 1 and 3. And the answer is also two . But how do i prove it?

Please help.(just a starting guidance would be very useful)

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# Homework Help: Factorials and squares

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