Let A = {x, y, z} and B = {1, 2}. The number of relations from A to B is:

Model Answer & Options

Source: Extra Practice

6

32

64

8

Explanation

The number of elements in A is n(A) = 3 and in B is n(B) = 2. The number of elements in A × B is 3 × 2 = 6. The number of relations is the number of subsets of A × B, which is 2^n(A × B) = 2^6 = 64. Option 1 is just the number of pairs. Option 4 is 2^3, which is incorrect.

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