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Consider lists of length 6 made from the letters A, B, C, D, E, F, G,...

Consider lists of length 6 made from the letters A, B, C, D, E, F, G, H. How many such lists are possible if repetition is not allowed and the list contains two consecutive vowels?

How many integers between 1 and 1000 are divisible by 5? How many are not divisible by 5?

How many integers between 1 and 9999 have no repeated digits? How many have at least one repeated digit?

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