Project ForgeEngineering Mathematics
Probability & Statistics
GATE 2012
Medium
A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are
- A1026
- B1062
- 1260
- D1620
Explanation
Choose 6 of the 10 compartments for the (identical) red balls: C(10,6)=210. From the remaining 4 compartments, choose 2 for the (identical) blue balls: C(4,2)=6. The rest stay empty. Total arrangements = 210×6=1260.
Source: GATE CH 2012 (2012)
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