# Let A and B be two sets such that n(A) = 3 and n(B) = 2.

Question:

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B.

Solution:

Given:

(x, 1), (y, 2), (z, 1) are in A × B

n(A) = 3 and n(B) = 2

$(x, 1) \in A \times B \Rightarrow x \in A, 1 \in B$

Similarly, $y \in A, 2 \in B$

and $z \in A, 1 \in B$

So, A = {x,y,z} and B = {1,2}