Let A and B be two sets such that n(A) = 3 and n(B) = 2. If a ≠ b ≠ c and (a, 0), (b, 1), (c, 0) is in A × B, find A and B.
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If a ≠ b ≠ c and (a, 0), (b, 1), (c, 0) is in A × B, find A and B.

Answer : Since, (a, 0), (b, 1), (c, 0) are the elements of A × B.

∴ a, b, c Є A and 0, 1 Є B

It is given that n(A) = 3 and n(B) = 2

∴ a, b, c Є A and n(A) = 3

⇒ A = {a, b, c}

and 0, 1 Є B and n(B) = 2

⇒ B = {0, 1}