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

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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) About Me  (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"
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Done.