2002 AMC 12B Problem 10
Below is the professionally curated solution for Problem 10 of the 2002 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 12B solutions, or check the answer key.
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Difficulty rating: 1270
10.
How many different integers can be expressed as the sum of three distinct members of the set
Solution:
Every element is one more than a multiple of so any sum of three of them is a multiple of The smallest sum is and the largest is and every multiple of between them is attainable.
There are multiples of from to
Thus, the correct answer is A.
Problem 10 in Other Years
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