SOLUTION: 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,

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Question 223828: 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.)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
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