Question

If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B is

• A. 2⁶
• B. 2 × 3
• C. 3²
• D. 2³

Answer 1

The total number of relations that can be defined from a set A to set B is the number of possible subsets of A ´ B.

If n(A) = m and n(B) = n, then the number of relations from A to B = 2^mn

Hence, number of relations = 2⁶