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Relations & Functions · Question 89 of 125

How many one-one functions are there in all from this A to this B?

Question 89

MediumOriginal question

A={1,2,3,4}A = \{1, 2, 3, 4\}, B={a,b,c,d,e}B = \{a, b, c, d, e\}, and f:A→Bf : A \to B is f={(1,a),(2,c),(3,e),(4,b)}f = \{(1, a), (2, c), (3, e), (4, b)\}.

How many one-one functions are there in all from this AA to this BB?

Options for question 89

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 5, 4, 3 and 2 choices for the images of 1, 2, 3 and 4.

  2. 5×4×3×2=1205 \times 4 \times 3 \times 2 = 120.

Worth noting

625 is 545^{4}, every function, repeats allowed.

Concept
Counting functions
Typical time
120 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.