JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 24 June 2022, Shift 1, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

The number of one-one functions

f:\{a, b, c, d\}\to\{0, 1, 2, \ldots, 10\}

such that

2f(a)-f(b)+3f(c)+f(d)=0

is ______.

Official answer

NTA final key (2022 Session 1).

Chapter: Relations and Functions
Topic: Permutations and Combinations
Idea tested: Number of Injective Functions

Same idea in other shifts

Asked 3× in all

5 Apr 2026, Shift 1 · Q21Let $A = \{1, 2, 3, 4, 5, 6\}$ . The number of one-one functions $f: A \to A$ such that $f(1) \geq 3$ , $f(3) \leq 4$ and $f(2) + f(3) = 5$ ,…MediumNumerical value
8 Apr 2024, Shift 1 · Q1Let $[t]$ be the greatest integer less than or equal to $t$ . Let $A$ be the set of all prime factors of 2310 and $f: A \to \mathbb{Z}$ be…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.