How many equivalence relations on $\{1, 2, 3\}$ contain both $(1, 2)$ and $(2, 3)$ ?

0

Correct answerYour answer

1

Correct answerYour answer

2

Correct answerYour answer

3

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

2 counts the relations with $(1, 2)$ alone; adding $(2, 3)$ forces the single class.

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

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

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