Question

Let set A={1, 2} and B be {3,4} then AX 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)

Answer 1

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

Explanation:

Since, the cartesian product of two sets A and B is defined as,

A × B = {(a, b) : a ∈ A and b ∈ B},

Here, the given sets,

A = {1, 2},

B = {3, 4}

Thus, by the above definition,

A × B = { (1, 3), (1, 4), (2, 3), (2, 4) }

Hence, option 'c' is correct.