JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q23

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

The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor the string 2467, is ____________.

Official answer

4898

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: The Block/Tie Method

Same idea in other shifts

Asked 6× in all

4 Apr 2026, Shift 1 · Q8The number of ways, of forming a queue of $4$ boys and $3$ girls such that all the girls are not together, is:EasySingle correct
8 Apr 2023, Shift 1 · Q6The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together isMediumSingle correct
8 Apr 2023, Shift 2 · Q5If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not…MediumSingle correct
31 Aug 2021, Shift 1 · Q89The number of six letter words (with or without meaning), formed using all the letters of the word ‘VOWELS’, so that all the consonants…MediumNumerical value
6 Sep 2020, Shift 2 · Q72The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come…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.