Question

if x & y are two sets having 2 & 3 elements respectively find the ni of functions from x to y​

Answer 1

Given:

x & y are two sets having 2 & 3 elements

To Find:

the no of functions from x to y​

Solution:

1. If we find the functions for the x and y we have to understand the formation of the functions.
2. If we form y=f(X) which means that for the every value of the y we have 2 values of the x.
3. It is clearly mention in the question that y has 3 values
4. so there must be the number of the functions as given: 2 + 2 + 2 = 6.
5. We are adding the 2 three time because we have the two elements in x and 3 in y.
6. Direct way to find the number of the function is just to multiply the elements.

                2×3 = 6