Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B. 16 32 64 108

Question

Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B. 16 32 64 108
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Solution 1

A relation from set A to set B is a subset of the Cartesian product A x B.

The set A has 2 elements and the set B has 2 elements, so the Cartesian product A x B has 2*2 = 4 elements.

The number of subsets of a set with n elements is 2^n.

So, the number of relations from A to B is the number of Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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