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2 5pts a 3digit number will be formed using the...

Question: 2 5pts a 3digit number will be formed using the...

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2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event that the number is even and greater than or equal to 400 into: . the event that the number is even and between 400&499 inclusive the event that the number is even and greater than or equal to 500. (even numbers in [400,499]) ways (even numbers 500 or more)_ PROBABILTY

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