Question 865085: A state's license plates consist of three letters followed by three numerals, and 250 letter arrangements are not allowed. How many plates can the state issue?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! You have 3 letter slots, so you have 26*26*26 = 17,576 different combos for the letter slots only (assuming repeats are allowed). However, 250 letter arrangements are not allowed. So you really only have 17,576 - 250 = 17,326 ways to form 3 letters (repeats allowed)
You have 3 numeral slots, so you have 10*10*10 = 1,000 different combos for the numeral portion (again, assuming repeats are allowed)
Multiply these choices out: 17,326 * 1,000 = 17,326,000
This is the number of choices for any six digit license plate of the form AAA777 (just an example) where we are excluding 250 letter arrangements. By "letter" I'm assuming they mean anything drawn from the English alphabet A-Z.
Final Answer: 17,326,000
This is the number 17 million 326 thousand
In scientific notation, the answer is 
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