# License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed?

Lorena Lester 2022-07-16 Answered
License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed?
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Number on license plates are of the form LLLDD, where L represents a letter and D represents a digit.
As L can be anything from A to Z, there are 26 combinations for that and as repetition is allowed,
for second and third letters, we again have 26 combinations available and thus $26×26×26=17576$ combinations for letters.
But digits are from 0 to 9 i.e. 10 combinations for each place and tolal $10×10=100$ combinations.
Hence for LLLDD, we have $1,757,600$ combinations available for license plates.