Let A=\{1, 2, 3\},\ B=\{a, b\}. Determine n(A\times B).

3kofbe

3kofbe

Answered question

2021-11-14

Let A={1,2,3}, B={a,b}. Determine n(A×B).

Answer & Explanation

Helen Rodriguez

Helen Rodriguez

Beginner2021-11-15Added 9 answers

The Cartesian Product of two sets A and B is the set of all possible ordered pairs (a,b) where a is an element in set A and b is an element in set B.
Given that A={1,2,3} and B={a,b}, we get that:
A×B=1a2b2a2b3a3b
There are 6 ordered pairs in A×B, meaning that n(A×B)=6
Reult:
n(A×B)=6

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