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If 12 identical balls are to be placed...

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 :

A

`(55)/(3)((2)/(3))^(11)`

B

`55((2)/(3))^(10)`

C

`220((1)/(3))^(12)`

D

`22((1)/(3))^(11)`

Text Solution

Verified by Experts

The correct Answer is:
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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