Let be a set containing distinct elements. Then the total number of distinct functions from to , is?
Explanation for correct answer:
Finding the total number of distinct functions:
Let be a set containing distinct elements
Finding the distinct function from to .
Functions from to, , where and ranges from to
For it has possibilities. likewise ranges from to .
Therefore, the total number of distinct functions=
The total number of distinct functions from to , is
Hence, option (B) is the correct answer.