SOLUTION: Assume that all license plates in New York consist of three numbers followed by three letters. How many ways are there to get a New York license plate with the number 19 appearing

Question 534173: Assume that all license plates in New York consist of three numbers followed by three letters. How many ways are there to get a New York license plate with the number 19 appearing (without any digits between) and with your first and last initial appearing consecutively in order?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
So the license plate has a format: NNN-AAA, where N are numbers 0-9 and A are letters A-Z.
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How many ways can NNN have a "19"?
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2. Either "19_" or "_19" where "_" is any number.
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How many ways can AAA have your first and last initial in order?
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2. Assume your initials are "OK" and apply the same logic. The AAA can be "OK_" or "_OK".
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There are a total of 4 ways that the license plate satisfies these conditions:
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1) "19_" "OK_"
2) "19_" "_OK"
3) "_19" "OK_"
4) "_19" "_OK"
.
Done.
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