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Saturday, 31 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 6 April 2026, Shift 2, Maths Q7

Question 7 of 75 in this shift, Maths question 7 of 25, Section A.

A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th^{\text{th}} floor. The number of ways, in which any 4 persons exit at a floor and the remaining 5 persons exit at a different floor, if the lift does not stop at the first and the second floors, is equal to :
  1. (1)2184
  2. (2)3064
  3. (3)7056Official answer
  4. (4)11340

Official answer

Option 3

NTA final key.

Chapter
Permutations and Combinations
Topic
Permutations and Combinations
Idea tested
Division of Objects into Groups

Same idea in other shifts

Asked 3× in all
  1. 5 Apr 2024, Shift 2 · Q1Let the set S={2,4,8,16,…,512}S=\{2, 4, 8, 16, \ldots, 512\} be partitioned into 3 sets A,B,CA, B, C with equal number of elements such that…MediumSingle correct
  2. 24 Feb 2021, Shift 2 · Q85The students S1,S2,….,S10\mathrm{S_1, S_2, \ldots., S_{10}} are to be divided into 3 groups A, B and C such that each group has at least one student…HardNumerical 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.