Question

If A = {2, 5, 6}, B = {1, 2}, C = {1, 3, 6}, then A x (B ∩ C) is

• A. {(2, 3), (5, 3), (6, 3)}
• B. {(2, 2), (5, 5), (6, 6)}
• C. {(2, 1), (5, 1), (6, 1)}
• D. {(2, 6), (5, 6), (6, 6)}

Answer 1

The correct option is C

{(2, 1), (5, 1), (6, 1)}

Cartesian product A x B of two sets A and B is given by

A x B = {(a, b): a ϵ A, b ϵ B}

Here, B ∩ C = {1}

Then, A x (B ∩ C) = {(2, 1), (5, 1), (6, 1)}