Question

I’m having some problems with permutations...?

Trying to solve 10!/(10-3)!
I understand the function but with the number 10 how much do I repeat the process of 10x9x8x7 etc.. ? Really having troubles with these permutations lol any help is very appreciated!

Answer 1

720

Explanation:

`10! =10xx9xx8xx7xx6xx5xx4xx3xx2xx1`

`(10-3)! =(7)! = 7xx6xx5xx4xx3xx2xx1`

If we are dividing then hopefully you can see we have 7! on both parts of the fraction and they cancel out, leaving

`[10!]/[(10-3)!] =[10xx9xx8]/1=720`