Question

A license plate in the state of Kentucky has 3 letters and 3 digits.If all the letters in the alphabet and the digits 0-9 can be utilized when creating the license plates,how many license plate can be created if the letters and digits cannot be replaced?

Answer 1

To find how many license plates we need to notice that the license has 3 letters and 3 digits, then we need to multiply in each of this spaces the number os possibilities (remeber that they cannot be replace) then:

`26\cdot25\cdot24\cdot10\cdot9\cdot8=11,232,000`

Therefore we can create 11.232,000 of license plates.