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Suppose you have to create a password consisting of seven letters followed by two digits. The...

Suppose you have to create a password consisting of seven letters followed by two digits. The letters cannot be repeated but the digits can be repeated. a) How many possible such passwords can you create? b) If you insist on alternating consonants with vowels (do not count “y” as a vowel), starting and ending the string of letters with consonants, and making the two digits at the end a prime number greater than 23, then how many passwords can you create now?

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