Maths-
General
Easy

Question

# Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-

Hint:

## The correct answer is:

### Complete step-by-step solution:Since from the given question, we have A be a set containing 10 distinct elements and the total number of distinct functions from A to A is the requirement.Let us assume the set A with the elements like Then by using the function definition of the domain and co-domain we have a function from A to A which means itself :  where m and n are the ranges from 1,2, ...... 10Therefore, the total number of distinct function for  number  1 is 1,2, ...... 10( it can be represented in any ten numbers) and the number 2 is 1,2, ..... 10 and proceeding like this we also get the number 10 as 1,2, ..... 10Thus, we get for all the  ten numbers we have 1, 2, ..... 10Hence we have in total

The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.