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Relations & Functions · Question 51 of 125

Which of these describes the same-house relation?

Question 51

EasyOriginal question

A club's 16 members belong to four houses with 3, 5, 2 and 6 members. Two members are related if they belong to the same house.

Which of these describes the same-house relation?

Options for question 51

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Everyone is in their own house; sharing a house works both ways.

  2. If A shares with B and B with C, all three are in one house: an equivalence.

Worth noting

'Same house' is 'equal value of something', which is always an equivalence.

Concept
Recognising an equivalence relation
Typical time
90 s
Your time
—
The rule this testsEquivalence relations and classes
Practise this chapter →

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

Practise this chapter →

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