Question

B) is equal to 2 m. Therefore total number of relations from the set A to the set B is 2"
mn
EXERCISES
Let A = (p,q,r,s) and R be an universal relation on A. Write down the relation R. Find
out the smallest and largest subset of the universal relation which is an equivalence
relation.
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Answer 1

Answer:

m=3

Step-by-step explanation:

The number of relations between sets can be calculated using 2

mn

where m and n represent

the number of members in each set.

Given that n(A)=2 and n(B)=m

So,

2

2m

=64

2

2m

=2

6

On comparing powers of 2 we get,

2m=6

m=3