Question

Number of relations from A= {2,6} to B={1,3,5,7} that are not functions from A to B is​

Answer 1

Answer:

According to the problem, ∣A∣=2 and ∣B∣=5.

Now number of relations from the set A to B is 2

2×5

=2

10

.

Also number of mappings from the set A to B is 5

2

.

So number of relations from A to B that are not functions is 2

10

−5

2

=1024−25=999.