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Relations & Functions · Question 65 of 125

How many members are in the equivalence class of a member of the 5-member house?

Question 65

MediumOriginal 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.

How many members are in the equivalence class of a member of the 5-member house?

Options for question 65

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The class of a member is everyone related to them, themselves included.

  2. That is the whole house: 5.

Worth noting

4 leaves the member out of their own class; the relation is reflexive.

Concept
Equivalence classes
Typical time
120 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.