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Relations & Functions · Question 69 of 125

Question 69

HardOriginal question

How many equivalence relations on {1,2,3}\{1, 2, 3\} contain the pair (1,2)(1, 2)?

Options for question 69

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 1 and 2 must share a class; 3 either joins them or stands alone.

  2. {1,2,3}\{1, 2, 3\} or {1,2},{3}\{1, 2\}, \{3\}: 2 relations.

Worth noting

1 forgets that 3 can join the class of 1 and 2, giving the universal relation.

Concept
Counting equivalence relations
Typical time
120 s
Your time
—
The rule this testsEquivalence relations and classes
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Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

Ten questions from Relations & Functions, at your own pace.