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Relations & Functions · Question 80 of 125

Question 80

EasyOriginal question

f:{1,2,3}→{4,5,6,7}f : \{1, 2, 3\} \to \{4, 5, 6, 7\} has f(1)=4f(1) = 4 and f(2)=6f(2) = 6. How many choices of f(3)f(3) make ff one-one?

Options for question 80

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. For one-one, f(3)f(3) must differ from f(1)=4f(1) = 4 and f(2)=6f(2) = 6.

  2. That leaves 5 and 7: 2 choices.

Worth noting

4 lets f(3)f(3) take an image already used by 1 or 2.

Concept
Completing a one-one function on a finite set
Typical time
60 s
Your time
—
The rule this testsOne-one functions
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Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

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