Question

How will we solve this?
What will be the remainder after we divide 50! + 49! + 48!.......2! + 1! by 5! ?

Answer 1

@FoolForMath I need your genius here

Answer 2

50!.... 5! each of these have a 5!
so remainder will be 4!+3!+2!+1!=24+6+2+1=33

Answer 3

I am not sure how you got it :|

Answer 4

It's easy, Starting from 5! every factorial is a divisible by 5.

Answer 5

So, just ignore the rest.

Answer 6

Oh yes!

Answer 7

Did you understand @ParthKohli ?

Answer 8

Yes! that's the principle of how we divide \(\Large {6! \over 5!}\) and we get \(6\)... so 6 is the quotient and there is no remainder! ^.^