Learn

Friday, 9 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 topic in other shifts

All Permutations and Combinations questions
  1. 2 Apr 2026, Shift 1 · Q6The number of seven-digit numbers, that can be formed by using the digits 1,2,3,51, 2, 3, 5 and 77 such that each digit is used at least once,…MediumSingle correct
  2. 2 Apr 2026, Shift 2 · Q7Let pnp_n denote the total number of triangles formed by joining the vertices of an nn-side regular polygon. If pn+1−pn=66p_{n+1} - p_n = 66,…EasySingle correct
  3. 4 Apr 2026, Shift 1 · Q4The number of functions f:{1,2,3,4}→{a,b,c}f:\{1,2,3,4\}\to\{a,b,c\}, which are not onto, is:EasySingle correct
  4. 4 Apr 2026, Shift 1 · Q8The number of ways, of forming a queue of 44 boys and 33 girls such that all the girls are not together, is:EasySingle correct
  5. 4 Apr 2026, Shift 2 · Q17Let A={(a,b,c):a,b,cA=\{(a,b,c):a,b,c are non-negative integers and a+b+2c=22}a+b+2c=22\}. Then n(A)n(A) is equal to:MediumSingle correct
  6. 5 Apr 2026, Shift 1 · Q21Let A={1,2,3,4,5,6}A = \{1, 2, 3, 4, 5, 6\}. The number of one-one functions f:A→Af: A \to A such that f(1)≥3f(1) \geq 3, f(3)≤4f(3) \leq 4 and f(2)+f(3)=5f(2) + f(3) = 5,…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 42 of the 174 JEE Main shifts held from 2017 to 2026.