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)

Question

Mathematics

Carlos

23 October, 07:37

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)

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Answers (1)

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Sullivan Adkins · Answer 1

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

Step-by-step 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.