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Friday, 9 October

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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 January 2020, Shift 2, Maths Q68

Question 68 of 75 in this shift, Maths question 18 of 25, Section A.

If 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 balls is :

(1) $\frac{945}{2^{10}}$ Official answer
(2) $\frac{965}{2^{11}}$
(3) $\frac{945}{2^{11}}$
(4) $\frac{965}{2^{10}}$

Official answer

Option 1

NTA final key (Jan 2020).

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

Same idea in other shifts

Asked 2× in all

2 Apr 2025, Shift 2 · Q6The 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…MediumSingle correctHas a figure

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.