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Relations & Functions · Question 5 of 125

Question 5

EasyOriginal question

How many relations are there on a set with 3 elements?

8

Correct answerYour answer

27

Correct answerYour answer

64

Correct answerYour answer

512

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

A relation is any subset of $A \times A$ , which has $3 \times 3 = 9$ pairs.
$2^{9} = 512$ subsets.

Worth noting

$2^{3} = 8$ counts subsets of $A$ , not of $A \times A$ .

Concept: Counting relations
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsTypes of relations

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