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23 May, 18:10

If a+b+c=a*b*c then how many real number solutions are possible

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  1. 23 May, 18:16
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    6 solutions.

    Step-by-step explanation:

    1 + 2 + 3 = 6,

    1*2*3 = 6.

    So a = 1, b = 2 and c = 3 will fit this identity, as would any other combination of the 3 values. That is a total of 6 possible solutions. It is 6 because there are 6 possible different arrangements of 1,2 and 3.

    As a matter of interest, 6 is one of the set of 'perfect numbers' where the sum of all the factors equals their product. The next one is 28 but that has 5 factors so that would not fit.
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