SOLUTION: An access code consists of 3 letters of the alphabet followed by 2 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible?

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Question 1188237: An access code consists of 3 letters of the alphabet followed by 2 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible?
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Are access codes like OOO00 allowed? Three letters "O" followed by two zeros "0"?

If so:

Choose the 1st character, a letter, 26 ways. Then:
Choose the 2nd character, a letter, 26 ways.
Choose the 3rd character, a digit, 10 ways.
Choose the 4th character, a digit, 10 ways.
Choose the 5th character, a digit, 10 ways. 

That's (26)(26)(10)(10)(10) = 676000 different access codes.

Edwin

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
An access code consists of 3 letters of the alphabet followed by 2 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible?
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26*26*26*10*10
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If "A" is different from "a" then 52*52*52*10*10
If A and a are different, it's called "case sensitive," upper case and lower case are separate.
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Thx for explaining what digits are.

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