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

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hottchevymanzm

Answered 2022-07-17
Author has **15** answers

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 $26\times 26\times 26=17576$ combinations for letters.

But digits are from 0 to 9 i.e. 10 combinations for each place and tolal $10\times 10=100$ combinations.

Hence for LLLDD, we have $1,757,600$ combinations available for license plates.

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 $26\times 26\times 26=17576$ combinations for letters.

But digits are from 0 to 9 i.e. 10 combinations for each place and tolal $10\times 10=100$ combinations.

Hence for LLLDD, we have $1,757,600$ combinations available for license plates.

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