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A database uses 20-character strings as record identifiers. The valid characters in these strings are upper-case...

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Advance Math

A database uses 20-character strings as record identifiers. Thevalid characters in these strings are upper-case letters in theEnglish alphabet and decimal digits. (Recall there are 26 lettersin the English alphabet and 10 decimal digits.) How many validrecord identifiers are possible if a valid record identifier mustmeet all of the following criteria:

  • Letter(s) from the set {A,E,I,O,U} occur in exactlythree positions of the string.

  • The last three characters in the string are distinctdecimal digits that do not appear elsewhere in the string.

  • The remaining characters of the string may be filled with any ofthe remaining letters or decimal digits.

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