Question

How many different ranges are possible for functions from
{1,2,3,4} to { 1,2,3,4,5,6,7,8,9,10}

Answer 1

The number of different ranges possible for a function from {1,2,3,4} to {1,2,3,4,5,6,7,8,9,10} is 10,000.

Step-by-step explanation:

In this case, we have a function from a set with 4 elements to a set with 10 elements. To find the number of different ranges possible for such a function, we need to consider the total number of possible outputs for each input.

Since each element in the domain can be mapped to any element in the codomain, there are a total of 10 options for each of the 4 inputs. So, the number of different ranges possible for this function is 10^4 = 10,000.