Question

How many elements in the cartesian product of A×B if ={1,2,3} and B ={a,b}​

Answer 1

Answer:

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If A and B are two non-empty sets, then their Cartesian product A × B is the set of all ordered pair of elements from A and B.

A × B = {(x, y) : x ∈ A, y ∈ B}

Suppose, if A and B are two non-empty sets, then the Cartesian product of two sets, A and set B is the set of all ordered pairs (a, b) such that a ∈A and b∈B which is denoted as A × B.

For Example;

1. If A = {7, 8} and B = {2, 4, 6}, find A × B.

Solution:

A × B = {(7, 2); (7, 4); (7, 6); (8, 2); (8, 4); (8, 6)}

The 6 ordered pairs thus formed can represent the position of points in a plane, if a and B are subsets of a set of real numbers.

Step-by-step explanation:

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