EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Relations & Functions · Question 88 of 125

How many onto functions are there from this A to this B?

Question 88

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 onto functions are there from this AA to this BB?

Options for question 88

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. An onto function needs all 5 elements of BB as images.

  2. 4 elements give at most 4 images, so there are none.

Worth noting

120 counts the one-one functions.

Concept
When no onto function exists
Typical time
120 s
Your time
—
The rule this testsOne-one 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.