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# How many ordered triples (a, b, c) of non-zero real numbers have the

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Re: How many ordered triples (a, b, c) of non-zero real numbers have the [#permalink]
Asked: How many ordered triples (a, b, c) of non-zero real numbers have the property that each number is the product of the other two?

a = bc
b = ac
c = ab

abc = a^2b^2c^2 = (abc)^2

(a,b,c) = {(1,1,1),(1,-1,1),(-1,1,1),(1,1,-1)} : 4 ordered triples

IMO D
Re: How many ordered triples (a, b, c) of non-zero real numbers have the [#permalink]
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