Compute the number of functions from a set with n elements to a set with m elements.?

[Cecil Baires]

Consider the set with n element. Every element can be mapped to any element of set with m elements. SO, there are m possible mappings
for one elements.

For all elements, there are m^n such mapping possible.
So, there are m^n possible functions.

[WARLORDTF]

I'm not a 100% at what you are aiming at but nonetheless, at a guess at what you have said i'd assume that yes, you are correct