Problem1 Illinois license plates must have 4 Arabic numerals (0 through 9) and 3 phonetic letters (A through Z). How many uniquely registered cars can there be in the state of Illinois?

There will be total of 7 places in license plate:
4 places for numerals
3 places for letters
Each of 4 places for numerals can have 10 options ( i.e. any number from 0 to 9 )
Each of 3 places for letters can have 26 options ( i.e. , any number from A to Z )
Therefore ,
Possible combinations which can fill in 7 places in number plate
= 10 x 10 x 10 x 10 x 26 x 26 x 26
= 175760000
NUMBER OF UNIQUELY REGISTERED CARS IN ILLINOIS = 175760000
 
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