Resolved: thanks for the awesome course, but in my humble opinion the explanation needs an explanation

I might be wrong but 

for exmple: 

instead of saying (n+k)!= n! * (n+1) *(n+2)* ...... *(n+k) 

it is better to explain it this way: 

                             (n+k)! = (n+k) * (n+k-1)* (n+k-2)*.....*(n)! 

and with numbers to make it clearer: 

                             (n+3)! = (n+3) * (n+2) * (n+1)* n! 

i.e. 

5! = 5*4*3*2*1 = 5*4! 

simply 

(5+2)! = (5+2) * (5+1) * (5)! 

NOTE: we are subtracting  (5+2) then (5+2-1) which is (5+1) and so on 

I know it is the same but the order of thoughts is very important, especially in this particular topic. since we are talking about probability!

I mean simplifying makes a better understanding. 

365 is amazing, the team is fablous but there are some gaps in many courses