California license plates have one number, then three letters, then three numbers.

ex:4KLD875

How many possible CA license plates are there?

     10 digits to choose from...

     26 letters in the alphabet...

#  L  L  L  #  #  #  ...  10 * 26 * 26 * 26 * 10 * 10 * 10  ...  = 26^3 * 10^4 = 175,760,000

 


YOUR TURN:

How many CA license plates are there that don't start with 0?

How many CA license plates are there that

a )don't start with 0
b )don't contain the word "POO"?

* Yes, they have to omit all license plates with bad words -- and things that look like bad words.