Need a verification:

Combinations of n items taken r at a time: C9n,r)= n!/(n-r)!*r!
C(8,0)
8!/(8-0)!*(0)! = 8!/8!*0! = 0 or Answer is 0 or 1?

The formula is correct, noting the parentheses, i.e.

C(n,r) = n!/((n-r)!r!)
Since 0!=1, the expression
8!/((8-0)!*(0)!) = 1