Question 34
Back to Exercise
In how many ways can 6 identical balls be placed in 3 identical boxes (boxes may be empty)?
- A 28
- B 7 Correct
- C 10
- D 6
Correct Answer: Option B
Count ways to write 6 as a sum of at most 3 parts:
6; 5+1; 4+2; 3+3; 4+1+1; 3+2+1; 2+2+2 → 7
Trap: 28 = 8C2 treats the boxes as different.
Answer: 7
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