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Relations & Functions · Question 63 of 125

How many ordered pairs of members are related by the same-house relation?

Question 63

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 ordered pairs of members are related by the same-house relation?

Options for question 63

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. A house of nn members gives n2n^{2} ordered pairs.

  2. 9+25+4+36=749 + 25 + 4 + 36 = 74.

Worth noting

58 leaves out the 16 pairs of a member with themselves.

Concept
Pairs in an equivalence relation from its classes
Typical time
120 s
Your time
—
The rule this testsEquivalence relations and classes
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