JEE Main 2026 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 5 April 2026, Shift 2, Maths Q9

Question 9 of 75 in this shift, Maths question 9 of 25, Section A.

A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :

(1) $4100$ Official answer
(2) $4140$
(3) $4230$
(4) $4290$

Official answer

Option 1

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Combinations of Distinct Objects

Same idea in other shifts

Asked 7× in all

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2 Apr 2017 (offline) · Q66A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and…HardSingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.