Question

If A is a set with m elements and B is a set with n elements, how many relations can be constructed from A to B ?
1) $m^{n}$
2) $n^{m}$
3) Factorial (n) x Factorial (m)
4) n x m

Answer 1

hey, your answer is c because

Answer 2

Correct- Question

If A is a set with m elements and B is a set with n elements, how many relations can be constructed from A to B ?

1) $m^{n}$

2) $n^{m}$

3) Factorial (n) x Factorial (m)

4) $2^{(mn)}$

Answer:

The number of relations which can be  constructed from A to B  is $2^{(mn)}$ and option (4) is correct.

Step-by-step explanation:

Given:

A is a set with m elements.

B is a set with n elements.

To Find:

The number of relations which can be  constructed from A to B.

Solution:

As given-A is a set with m elements.

               B is a set with n elements.

Then the number of relations between A and B  can be constructed =$2^{(mn)}$.

Thus, the number of relations between A and B  can be constructed =$2^{(mn)}$ and option (4) is correct.

PROJECT CODE#SPJ3