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Relations & Functions · Question 24 of 125

After that pair is added, into how many classes does the relation split A?

Question 24

MediumOriginal question

On A={1,2,3}A = \{1, 2, 3\}, the relation R={(1,1),(2,2),(3,3),(2,3)}R = \{(1, 1), (2, 2), (3, 3), (2, 3)\}.

After that pair is added, into how many classes does the relation split AA?

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 2 and 3 are now related both ways; 1 is related only to itself.

  2. Classes {1}\{1\} and {2,3}\{2, 3\}: 2.

Worth noting

3 treats every element as its own class, forgetting that 2 and 3 now share one.

Concept
The number of classes
Typical time
120 s
Your time
—
The rule this testsTypes of relations
Practise this chapter →

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

Practise this chapter →

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