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6. If there are 12 strangers in a room, what is the probability that no two of them celebrate their birthday in the same month?


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Each of the 12 persons can have his birthday in any of the 12 months
Therefore total no of ways of assigning 12 months to 12 people = 12 ^ 12
(^ denotes to the power of)
This is explained below

January can be assigned to 12 ...

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Answers a probability question