Question: Consider the set A = {a, b, c, d, e, f, g, h}. How many permutations of this set exist such that a appears before

Consider the set A = {a, b, c, d, e, f, g, h}. How many permutations of this set exist such that a appears before b? Note that a is not required to appear immediately before b. For example, abcdefhg, acdefghb, cdaef bgh are valid permutations; bacdefgh, bcdefgha are not valid.

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