Evaluate 5^C3

Answer 1

????

Did you mean C(5,3) or ₅C₅₃ ?
If so, then

C(5,3) = 5!/(3!2!) = 120/(6(2)) = 120/12 = 10

in general
C(n,r) , read "n choose r"
= n!/( ( n-r)!r! )

Answer 2

It should be:

like the second one you put but 5 ^C3(not the extra 5 after the C)....its very confusing to me :(