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?

1 Answer
Shwetank Mauria
Jan 18, 2017

We have 1,757,600 combinations available for license plates.

Explanation:

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 26xx26xx26=17576 combinations for letters.

But digits are from 0 to 9 i.e. 10 combinations for each place and tolal 10xx10=100 combinations.

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

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