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Relations & Functions · Question 118 of 125

Question 118

HardOriginal question

AA has 4 elements and BB has 2. How many onto functions are there from AA to BB?

Options for question 118

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Of the 24=162^{4} = 16 functions, only the 2 constant ones miss an element of BB.

  2. 16−2=1416 - 2 = 14.

Worth noting

16 includes the two functions that send everything to one element.

Concept
Counting functions
Typical time
120 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.