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Statement-1: If A and B are two sets hav...

Statement-1: If A and B are two sets having 3 and 5 elements respectively, then the total number of functions that can be defined from A to B is `5^(3)`.
Statement-2: A function from set A to set B relates elements of set A to elements of set B.

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
A function from set A to B relates every element of set A to a unique element in set B. So, each element of set A can be associated to any one of the five element in B.
Conseuqently, statement-2: is not true.
`therefore` Total number of functions from A to B=`5xx5xx5=5^(3)`
So, statement-1 is true.
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