H,i,j,k,l are five apartments on a floor each pair of which has a connected path between them.How many ways are ther in
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3x2 - 12x + 19 x2 + x - 6 ) x3 - 3x2 - 12x + 19 ( x - 4 x3 + x2 - 6x ( substract) ---------------------------- - 4x2 - 6x + 19 - 4x2 - 4x + 24 ( substract) ---------------------------- - 2x - 5 Here remainder is - 2x - 5 . 2x + 5 must be added to x3 - 3x2 - 12x + 19, so that result is exactly divisible by x2 + x - 6.
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