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Omni-MATH / Suppose a,b,c,d, and e are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. ( xy)z does not necessarily equal …

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Suppose a,b,c,da, b, c, d, and ee are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. ( xy)zx y) z does not necessarily equal x(yz)x(y z). How many different ways are there to interpret the product abcde?
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Suppose a,b,c,d, and e are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. ( xy)z does not necessarily equal x(yz). How many different ways are there to interpret the product abcde?
Original LaTeX notation
Suppose $a, b, c, d$, and $e$ are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. ( $x y) z$ does not necessarily equal $x(y z)$. How many different ways are there to interpret the product abcde?

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