24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit numbers are possible if repetition is allowed? b) How many 4-digit numbers are possible if repetition is not allowed? c) How many 4-digit number are possible if repetition is allowed and adjacent digits must differ? d) If repetition of digits is not allowed, what is the probability that the 4-digit number is an even number? e) If repetition of digits is not allowed, what is the probability that the 4-digit number is greater than 8000? f) If repetition of digits is not allowed, how many 4-digit even numbers greater than 8000 are possible?

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