Read the two statements and choose the correct option.
I. On $\{1, 2, 3\}$ , the smallest equivalence relation has 3 pairs.
II. On $\{1, 2, 3\}$ , the largest equivalence relation has 6 pairs.

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

6 counts only the pairs $(a, b)$ with $a \ne b$ , leaving out the 3 pairs $(a, a)$ .

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

Read the two statements and choose the correct option.I. On {1,2,3}\{1, 2, 3\}{1,2,3}, the smallest equivalence relation has 3 pairs.II. On {1,2,3}\{1, 2, 3\}{1,2,3}, the largest equivalence relation has 6 pairs.