JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2023, Shift 2, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

Let

R = \{a, b, c, d, e\}

and

S = \{1, 2, 3, 4\}

. Total number of onto functions

f: R \to S

such that

f(a) \neq 1

, is equal to ____________.

Official answer

180

NTA final key.

Chapter: Relations and Functions
Topic: Permutations and Combinations
Idea tested: Number of Onto Functions Using PIE

Same topic in other shifts

All Permutations and Combinations questions

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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.