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Relations & Functions · Question 109 of 125

Question 109

MediumOriginal question

How many onto functions are there from a set with 3 elements to a set with 3 elements?

Options for question 109

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. From a 3-element set onto a 3-element set, onto means one-one too.

  2. So it is the number of arrangements: 3!=63! = 6.

Worth noting

27 counts every function, including those that miss an element.

Concept
Counting functions
Typical time
90 s
Your time
—
The rule this testsOnto and bijective functions
Practise this chapter →

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

Practise this chapter →

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