Number of Onto and One-One Functions | JEE 2027 Maths (English)
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Number of Onto and One-One Functions | JEE 2027 Maths (English)
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RankDeterminant
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This chapter: • Inclusion–Exclusion, Functions and Subsets...
All lessons of this unit: • JEE 2027 Maths | Unit 4 Permutations and C...
How to count functions from a set of m elements to a set of n elements: all functions n^m, one-one functions nPm, bijections n!, onto functions by inclusion–exclusion, into and many-one functions, strictly increasing and non-decreasing functions, fixing given values first, and two solved problems with the classic traps.
Chapters
0:00 Introduction
0:32 All functions, one-one functions, bijections
1:59 Onto, into and many-one functions
3:31 Increasing functions, and fixed values
4:32 Example 1: all, one-one, onto functions and bijections
6:05 Example 2: non-decreasing functions from a 5-set to a 3-set
6:49 Example 2, part two
7:54 Quick revision: all, one-one, onto and increasing functions
A free JEE paper every day and a full JEE Main mock every Sunday: https://rankdeterminant.com/go/yt-dai...
Mathematics · Unit 4 · Permutations & Combinations · Chapter 5 · Inclusion–Exclusion, Functions and Subsets
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