Question

State True or False for the following statement.

If P = {1, 2}, then P × P × P = {(1, 1, 1), (2, 2, 2), (1, 2, 2), (2, 1, 1)}

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Given that P = {1, 2}

∴ P × P = {1, 2} × {1, 2} = {(1, 1), (1, 2), (2, 1), (2, 2)}

P × P × P = {(1, 1), (1, 2), (2, 1), (2, 2)} × {1, 2}

= {(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}