A license plate consists of two letters then three digits. How many different plates can be madeif the first letter cannot be a vowel and the first digit cannot be zero? (Remember, vowels are a,e,i,o,u but not y.)
A sample license plate would be, say,
R U 7 2 4
There are 26-5 or 21 consonants (non-vowels) we can choose to put
where the R is.
There are 26 letters which we can choose to put where the U is.
There are 9 digits we can choose to put where the 7 is.
There are 10 digits we can choose to put where the 2 is.
There are 10 digits we can choose to put where the 4 is.
Multiply them all together:
21×26×9×10×10 = 491,400
Edwin