Question

How many onto functions are there from a set with three elements to a set with eight elements?

Answer 1

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be $A\ and\ B$ such that:

$n(A) = 3$

$n(B) = 8$

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B