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Answer:  [(n − 1)/n]m

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In the favorable case we have (n-1) choices for each of the m balls and the total number of choices for each ball is m. So, probability

= [(n-1)/n]m

[Here first bin is fixed. Had it been any one bin being empty, answer would have been multiplied by nC1]

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Thanks.
Its all about the choice we have for each ball and multiply the choices.
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