Question

Which of the following is the relation (R) for the given sets A = {1, 2, 3, 4}, B = {a, b, c}.

• A. {(1, a), (1, b), (1, c)}
• B. {(6, a), (2, b), (2, c)}
• C. {(3, a), (5, b), (3, c)}
• D. (4, a), (4, b), (4, d)}

Answer 1

The correct option is A

{(1, a), (1, b), (1, c)}

A $\times$ B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c), (3, a), (3, b), (3, c), (4, a), (4, b), (4, c)}

Option A {(1, a), (1, b), (1, c)} is a subset of A $\times$ B

Option B {(6, a), (2, b), (2, c)} is not a subset of A $\times$ B

Option C {(3, a), (5, b), (3, c)} is not a subset of A $\times$ B

Option D (4, a), (4, b), (4, d)} is not a subset of A $\times$ B