Hey again !

1) We have for example, 100 Questions to be answered for a test (Yes/No).

In order to pass the test you must have at least 95 right answers. So, how many ways there exist in order someone to pass this exam ?

I believe that firstly we must find out, how many different combinations of 5digits (made by numbers from 1 to 100) we have, and then we just add to this, +5 cases ( 96(+1), 97(+2), 98(+3), 99(+4), or 100(+5) right answers).

But actually my problem is how to present that factorial, given that my rumination is right.

2) For Example, we have this word -->SUCCESS

How many different words (not needed to be in the lexicon) can be made if we change the order of the letters?

My thought is: 7! / 3!2! = 420 new words right?

Thanks in advance for another time! :=)