Question

Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?

(a) {1, 2, 3, 4}

(b) {(1, 3),(2, 4)}

(c) {(1, 3), (2, 4), (1, 4), (2, 3)}

(d) {(3, 1), (4, 1)}

The question was posed to me by my school teacher while I was bunking the class.

The origin of the question is Cartesian Product of Sets topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

The correct option is (c) {(1, 3), (2, 4), (1, 4), (2, 3)}

Explanation: In set A X B : {(c , d) |c ∈ A and d ∈ B}.