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It depends.

If each person does exactly one thing then 323 = 32,768 ways

If each person does at most one thing, then 324 = 1,048,576 ways

If each person does one or more things, then 327 = 3.4*1010 ways

If each person does any number of things, including none, then 328 = 1.1*1012 ways

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