Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Miscellaneous

Misc 1
Important

Misc 2

Misc 3 Important

Misc 4 Important You are here

Misc 5

Misc 6 (MCQ) Important

Misc 7 (MCQ) Important

Question 1 Deleted for CBSE Board 2024 Exams

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Question 5 Deleted for CBSE Board 2024 Exams

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Question 12 (MCQ) Important Deleted for CBSE Board 2024 Exams

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at June 6, 2023 by Teachoo

Misc 4 (Introduction) Find the number of all onto functions from the set {1, 2, 3, … , n} to itself. Taking set {1, 2, 3} Since f is onto, all elements of {1, 2, 3} have unique pre-image. Total number of one-one function = 3 × 2 × 1 = 6 Misc 4 Find the number of all onto functions from the set {1, 2, 3, … , n} to itself. Since f is onto, all elements of {1, 2, 3} have unique pre-image. Total number of onto functions = n × n –1 × n – 2 × …. × 2 × 1 = n!