MathDB
TT2008 Junior O-Level - P2

Source:

September 4, 2010
combinatorics proposedcombinatorics

Problem Statement

Twenty-fi ve of the numbers 1,2,⋯ ,501, 2, \cdots , 50 are chosen. Twenty- five of the numbers51,52,⋯ ,100 51, 52, \cdots, 100 are also chosen. No two chosen numbers diff er by 00 or 5050. Find the sum of all 5050 chosen numbers.
Back to ProblemsView on AoPS