# Misc 10 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Jan. 30, 2020 by Teachoo

Miscellaneous

Misc 1
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Misc 2 Deleted for CBSE Board 2023 Exams

Misc 3 Important Deleted for CBSE Board 2023 Exams

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Misc 6 Deleted for CBSE Board 2023 Exams

Misc 7 Deleted for CBSE Board 2023 Exams

Misc. 8 Important

Misc 9 Important Deleted for CBSE Board 2023 Exams

Misc 10 Important You are here

Misc 11 (i) Important Deleted for CBSE Board 2023 Exams

Misc 11 (ii)

Misc 12 Deleted for CBSE Board 2023 Exams

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Misc 16 (MCQ) Important

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Misc 19 (MCQ) Important Deleted for CBSE Board 2023 Exams

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at Jan. 30, 2020 by Teachoo

Misc 10 (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 10 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!