# Eight variables

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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