2022 AIME II Problems/Problem 14
Problem
For positive integers 
, 
, and 
with 
, consider collections of postage stamps in denominations , , and cents that contain at least one stamp of each denomination. If there exists such a collection that contains sub-collections worth every whole number of cents up to 
cents, let 
be the minimum number of stamps in such a collection. Find the sum of the three least values of such that 
for some choice of and .
Solution
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
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