How many different functions are there from a set with 10 elements to sets with the following numbers of elements?

Question

a) 2
b) 3
c) 4
d) 5

Answer 1

There are n^10 functions from a set of ten elements to a set with n elements.

Answer 2

HOW THIS FORMULA ARIVES?

Answer 3

a)2^10=1024
b)59049
c)1048576
d)9765625