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A hotel packed breakfast for each of the...

A hotel packed breakfast for each of the three guests. Each breakfast should have consisted of threeTypes of rolls, one each of nut, cheese and fruit rolls. The preparer wrapped each of the nine rollsand once wrapped, the rolls were indistinguishable from one another. She then randomly put threerolls in a bag for each of the guests. If the probability that each guest got one roll of each type ism/n where m and n are relatively prime integers, find the value of `(m + n)`.

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