Waste less time on Facebook — follow Brilliant.

Question in a high school math contest

Given 1,2,3,...2015,2016 ( the first 2016 natural numbers) divide into 3 assemblage A,B,C which no 2 particles are the same in two assemblage. Given the numbers of particles in A,B,C are equal ( each contain 672 particles. Prove that we can pick 3 numbers a,b,c each from 3 assemblage so that the largest number equal the sum of the other two.

Note by Quang Minh
11 months, 4 weeks ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...