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Suppose that a random number generator randomly generates a number from 1 to 65. Once a...

Suppose that a random number generator randomly generates a number from 1 to 65. Once a specific number is generated, the generator will not select that number again until it is reset. If a person uses the random number generator 65 times in a row without resetting, how many different ways can the numbers be generated? Write your answer in factorial notation.

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Answer #1

since for first number we have 65 choices, for 2nd remainning 64 choices (since 1st number can not be chosen, for 3rd 63 choices (since first 2 selected can not be chosen),,,,,,,,,

therefore total number of ways the numbers can be generated =65*64*63....*1 =65!

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