Question

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?

Answer 1

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.