Mathematics · Permutations and Combinations
Let S = {1, 2, 3, 4, 5, 6, 7, 8}. Let x be the number of 8-digit numbers formed using elements of S such that exactly one digit is repeated twice and all other digits are distinct. Let y be the number of 8-digit numbers formed such that exactly two digits are repeated twice each and all other digits are distinct. Find the value of xy.
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