Illuminations: Sum of Threes
The number 4 can be expressed as the sum of three positive integers in only one way:
4 = 1 + 1 + 2
However, the number 50 can be expressed as the sum of three positive integers in 200 ways.
Somewhere in between, there is a number n that can be expressed as the sum of three positive integers in precisely n ways. Can you find n?
This brainteaser was written by Derrick Niederman.
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Resource k12
The number 4 can be expressed as the sum of three positive integers in only one way:
4 = 1 + 1 + 2
However, the number 50 can be expressed as the sum of three positive integers in 200 ways.
Somewhere in between, there is a number n that can be expressed as the sum of three positive integers in precisely n ways. Can you find n?
This brainteaser was written by Derrick Niederman.
Problem and solution
What are you looking for?
Organization
Website URL
Type of Resource
PDF File