Question

Fortwo non-empty sets A and B. if n(A) = mand n(B) = n then the total number of relations from set A to Set B is
a m+n
b mn
c 2mn
d non of these ​

Answer 1

Answer:

I think d is the correct answer

Answer 2

Answer:

2^(mn)

Step-by-step explanation:

n(A) = m & n(B) = n.

n(A x B) = mn

When form a relation, we conclude each & every subset including null set as well.

It is just like saying the number of subsets of a given set.

Suppose A = {1,2},

Subsets are {1, 2, A, ∅}, these are 2², based on observations it said that total number of subsets of a set having n elements is equal to 2ⁿ.

So, here, total number of relations of A x B [which has mn elements] is 2^(mn)