SOLUTION: For many years, the state of California used three letters followed by three digits on its automobile plates. a) how many different license plates are possible w/ this arrangeme

Question 206869This question is from textbook college alg
: For many years, the state of California used three letters followed by three digits on its automobile plates.
a) how many different license plates are possible w/ this arrangement?
b) when the state ran out of plates, the order was reversed to three digits followed by three letters. How many additional plates were then possible? This question is from textbook college alg

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
For many years, the state of California used three letters followed by three digits on its automobile plates.
a) how many different license plates are possible w/ this arrangement?
b) when the state ran out of plates, the order was reversed to three digits followed by three letters. How many additional plates were then possible?


Choose the first letter 26 ways.  That's 26
Choose the second letter 26 ways.  That's 26*26
Choose the third letter 26 ways.  That's 26*26*26
Choose the first digit 10 ways.  That's 26*26*26*10
Choose the second digit 10 ways.  That's 26*26*26*10*10
Choose the third digit 10 ways.  That's 26*26*26*10*10*10

Multiply that out and get:

17,576,000

b) That same number more.

[I wonder if they'd really allow the tag OOO-000.]   

Edwin

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