How many permutations of the digits 0, 1, 2, . . . , 9 either start with a 3 or end with a 7? I thought the answer would be 9!+9! but the answer key states it is 9!+9!-8! what is the -8!
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Because you have counted two times the permutations which start with 3 and end with 7 simultaneously.
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