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3 items each in 3 categories gives 3*3*3 = 27 possible combinations.
You can make three different groups of three out of nine. 9/3=3
2 groups
8 groups of 3 means8 * 3 = 24
7 groups, with 3 in each3 groups, with 7 in each21 groups, with 1 in each1 group, with 21 in each