JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 6 April 2023, Shift 2, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is

(1) $576$
(2) $578$
(3) $580$
(4) $582$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Lexicographic Rank of a Word

Same idea in other shifts

Asked 8× in all

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29 Jan 2024, Shift 1 · Q22All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a…MediumNumerical value
11 Apr 2023, Shift 2 · Q6If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then…EasySingle correct
13 Apr 2023, Shift 2 · Q6All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with…EasySingle correct
25 Jul 2022, Shift 1 · Q22The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the…MediumNumerical value
2 Sep 2020, Shift 1 · Q71If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then…MediumNumerical value

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.