Question

The library uses a numbering system with 13 digits to catalog all the books in the collection. Each digit can be 0-9. How many books can be in the collection without running out of ID numbers?

A) 9,999,999,999,999
B) 100,000,000,000,000
C) 1,000,000,000,000
D) 10,000,000,000,000

Answer 1

The library can have 10,000,000,000,000 books in the collection without running out of ID numbers.

Step-by-step explanation:

The library uses a numbering system with 13 digits to catalog the books in the collection. Each digit can be 0-9. To find the maximum number of books that can be in the collection without running out of ID numbers, we need to find the total number of possible combinations of 13 digits, each ranging from 0 to 9.

Since there are 10 possible digits for each position, we can calculate the number of combinations using the formula: 10^13. Evaluating this, we get a result of 10,000,000,000,000. Therefore, the correct option is D) 10,000,000,000,000.