JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q5

Question 5 of 90 in this shift, Maths question 5 of 30, Section A.

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is

(1) $560$
(2) $1120$
(3) $1680$ Official answer
(4) $3360$

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 3× 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
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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.