Eight variables \(a, b, c, d, e, f, g\), and \(h\) are assigned the integers from 1 to 8 in a random order. (No integer is assigned to more than one variable.)

If the probability that \(a-b > 4\) is \(\frac{x}{y},\) where \(x\) and \(y\) are coprime positive integers, what is \(x+y?\)

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