Question

If A has 4 elements and B has 6 elements, then total number of possible functions from A to B is .

• A. $4^4$
• B. $4^6$
• C. $6^4$

Answer 1

The correct option is C $6^4$

Number of elements in A = 4
Number of elements in B = 6
We know that for a function A to B, every element of A will have a unique image in B.
So, total number of possible images for each element of A is 6.
A has 4 elements. So, total number of possible function will be $6^4$.