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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 2, Maths Q6

Question 6 of 75 in this shift, Maths question 6 of 25, Section A.

The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is :

The figure, in words

Grid of 8 boxes in three rows: top row has 3 boxes (shifted right), middle row has 3 boxes (shifted one box to the left of the top row), bottom row has 2 boxes (under the first two boxes of the top row).
  1. (1)840840
  2. (2)58805880
  3. (3)57605760Official answer
  4. (4)960960

Official answer

Option 3

NTA final key.

Chapter
Permutations and Combinations
Topic
Permutations and Combinations
Idea tested
Distribution of Distinct Objects into Distinct Boxes

Same idea in other shifts

Asked 2× in all
  1. 9 Jan 2020, Shift 2 · Q68If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3…MediumSingle correct

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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.