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True or False: The number of permutations of five letters A, B, C, D, and E with A comes before C, and C comes before

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The number of permutations of five letters A, B, C, D, and E with A comes before C, and C comes before E is 20. The number of permutations of six letters A, B, C, D, E and F that contains "BAD" is 24. The number of permutations of six letters A, B, C, D, E and F with A comes before B and C comes before D is 180

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