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 :
← JEE Main 2026 · 5 Apr · Shift 2
MathematicsSingle correct+4 / -1Question 9 of 75
JEE Main 2026 · 5 Apr · Shift 2, Mathematics question 9
Answer and worked solution
Official answer: A
Cases. Start from 2 of each colour, then place the remaining 2 balls (limits: 5 blue, 6 yellow, 4 red).
| (B, Y, R) | Ways |
|---|---|
| (4,2,2) | |
| (2,4,2) | |
| (2,2,4) | |
| (3,3,2) | |
| (3,2,3) | |
| (2,3,3) |
Total: 4100.
(A)
Topics:Combinations