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If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is : (1) `` `(55)/3(2

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If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is : (1) `` `(55)/3(2/3)^(11)` (2) `55(2/3)^(10)` (3) `220(1/3)^(12)` (4) `22(1/3)^(11)` A. `(55)/(3)((2)/(3))^(11)` B. `55((2)/(3))^(10)` C. `220((1)/(3))^(12)` D. `22((1)/(3))^(11)` Select the correct answer from above options

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Correct Answer - A We have mentioned that boxes are different and one particular box has 3 balls Then, numher of ways `=(""^(12)C_3xx2^9)/(3^(12))=(55)/(3)((2)/3)^(11)`

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