Question 48482: A student wishes to scehdule each of 6 elective courses in different terms. If none of these has prerequisites, in how many different orders may the courses be taken? Answer by longjonsilver(2297) (Show Source):
So how many can be the first one? Answer is any of the six --> 6.
and how many could then be second? Answer is any of the remaining five (since one of the courses was chosen to be first) --> 5.
and third? Answer is 4.
So altogether we have 6*5*4*3*2*1 which is 6!. You work it out.