JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Let

A = \{1, 2, 3, 4, 5\}

and

B = \{1, 2, 3, 4, 5, 6\}

. Then the number of functions

f : A \to B

satisfying

f(1) + f(2) = f(4) - 1

is equal to ________.

Official answer

360

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Total Number of Functions

Same idea in other shifts

Asked 5× in all

30 Jan 2024, Shift 1 · Q21Let $A=\{1,2,3,\ldots,7\}$ and let $P(A)$ denote the power set of $A$ . If the number of functions $f:A\to P(A)$ such that…HardNumerical value
25 Jul 2022, Shift 1 · Q1The total number of functions, $f:\{1,2,3,4\}\rightarrow\{1,2,3,4,5,6\}$ such that $f(1)+f(2)=f(3)$ , is equal to :MediumSingle correct
27 Jul 2022, Shift 2 · Q22The number of functions f, from the set $A = \{x \in \mathbf{N} : x^2 - 10x + 9 \leq 0\}$ to the set $B = \{n^2 : n \in \mathbf{N}\}$ such…MediumNumerical value
26 Feb 2021, Shift 2 · Q62Let $A=\{1, 2, 3, \ldots, 10\}$ and $f : A \to A$ be defined as…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 108 of the 174 JEE Main shifts held from 2017 to 2026.