ISI MATH QUESTION

[SINGHAM]

How to find this:

If 1!+2!+3!+...+100! is divided by 36, what is the remainder?

[RajEco]

I am giving it a try. But i think it should work.

See that 6! = 720 ( divisible by 36) Similarly,( 7! or 8! ...so on) factorial of any number above 6 is divisible by 36.

So what we need to check is the remainder of 1+2!+3!+4!+5!
= 153/36   remainder =9

is this the right answer ?

[SINGHAM]

YES!

[RajEco]

keep posting such doubts