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What does the fundamental theorem of counting state?
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If sets $A_{1}, A_{2}, \cdots, A_{k}$ contain, respectively, $n_{1}, n_{2}, \cdots, n_{k}$ elements, there are $n_{1} \cdot n_{2} \cdots n_{k}$ ways of choosing first an element of $A_{1}$, then an element of $A_{2}, \cdots$, and finally an element of $A_{k}$.
by Diamond (55,883 points)

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