Question

if x & y are two sets having two & three elements.find the number of functions from x to y.​

Answer 1

Answer:

fine Mark as brainliest and also don't forget to follow me

Step-by-step explanation:

Number of functions from one set to another: Let X and Y are two sets having m and n elements respectively. In a function from X to Y, every element of X must be mapped to an element of Y. Therefore, each element of X has ‘n’ elements to be chosen from. Therefore, total number of functions will be n×n×n.. m times = nm.

For example: X = {a, b, c} and Y = {4, 5}. A function from X to Y can be represented in Figure 1.

" style="max-width: 100%; display: block !important; object-fit: contain;">

Considering all possibilities of mapping elements of X to elements of Y, the set of functions can be represented in Table 1.

" style="max-width: 100%; display: block !important; object-fit: contain;">