Question

If A=B={P, Q} find AXB​

Answer 1

Step-by-step explanation:

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Answer 2

Concept

In set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a belongs to A and b belongs to B. Numerically,

A x B = { (a, b) ; a ∈ A and b ∈ B }

Given

2 sets A and B, such that A= B= {P, Q}

Find

we are asked to find  A x B​

Solution

We have two non empty sets,

A =  {P, Q}

B =  {P, Q}

Thus, their cartesian product A x B will be,

A x B = { (P, P) (P, Q) (Q, P) (Q, Q) }

Since both A and B had 2 elements each, A x B will have 4 elements.

Thus, A x B = { (P, P) (P, Q) (Q, P) (Q, Q) }

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