JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 29 June 2022, Shift 1, Maths Q30

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

Let

b_1b_2b_3b_4

be a 4-element permutation with

b_i \in \{1, 2, 3, \ldots\ldots, 100\}

for

1 \le i \le 4

and

b_i \ne b_j

for

i \ne j

, such that either

b_1, b_2, b_3

are consecutive integers or

b_2, b_3, b_4

are consecutive integers. Then the number of such permutations

b_1b_2b_3b_4

is equal to ____________.

Official answer

18915

NTA final key (2022 Session 1).

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Permutations of Distinct Objects

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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.