Let A be set with 10 elements.
A. 2
Given that set contain only 2 elements.
10 elements in set A will map to 2 elements, which implies
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= 1024 functions
B. 3
Given that set contain only 3 elements.
10 elements in set A will map to 3 elements, which implies
= 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
= 59049 functions
C. 4
Given that set contain only 4 elements.
10 elements in set A will map to 4 elements, which implies
= 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4
= 1048576 functions
D. 5
Given that set contain only 5 elements.
10 elements in set A will map to 5 elements, which implies
= 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
= 9765625 functions
