JEE Main 2026 — Permutation Combination Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
A box contains blue, yellow and red balls. The number of ways, of drawing balls containing at least two balls of each colour, is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let , , and be the number of blue, yellow, and red balls drawn respectively.
We are given with , , and .
The possible combinations for are:
Case 1:
Case 2:
Case 3:
Case 4:
Case 5:
Case 6:
The number of ways for each case is calculated as follows:
Case 1:
Case 2:
Case 3:
Case 4:
Case 5:
Case 6:
Total number of ways
Answer:
We are given with , , and .
The possible combinations for are:
Case 1:
Case 2:
Case 3:
Case 4:
Case 5:
Case 6:
The number of ways for each case is calculated as follows:
Case 1:
Case 2:
Case 3:
Case 4:
Case 5:
Case 6:
Total number of ways
Answer:
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This is a previous-year question from JEE Main 2026, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.