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