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40 votes
40 votes
The library labels each book with a five-digit code to identify the book in their computer system. Each code is 3 digits (0-9) followed by two letters. How many codes are possible?

User Corentin Limier
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2 Answers

23 votes
23 votes

Answer:

26 * 26 * 10 * 10 * 10 = 676000

Explanation:

User Keith Hanlan
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30 votes
30 votes

Answer:The number of all possible codes = 26 * 26 * 10 * 10 * 10 = 676000

Explanation:

five digit code; each code is 3 digits (0-9) followed by two letters. That's ten numbers to choose from and 26 letters in the alphabet.

The problem suggests numbers and letters can be used more than once, like having a code: 555AA

To find the number of possible codes, you multiply by the choices for each digit.

10*10*10*26*26 = 676,000

User Polor Beer
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