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If I have twelve objects, each of which can be in one of three states (say on, off, on/off), how many ways can the group of twelve be configured -- by changing the state of each object?

user156300
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  • Hello and welcome. Please state what you have done so far. Specifically, have you tried to solve a simpler version, e.g. with just two or three objects? – Hans Engler Jun 10 '14 at 14:09

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There are 3 possibilities for each object. so you have $3^{12}$ possibilities

Edwin_R
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