MathDB
Arithmetic mean of all values

Source: Brazil Undergrad MO - Galois-Noether 2018 #14

November 26, 2019
moduloalgebraBrazilian Math Olympiadcollege contests

Problem Statement

What is the arithmetic mean of all values of the expression ∣a1−a2∣+∣a3−a4∣ | a_1-a_2 | + | a_3-a_4 | Where a1,a2,a3,a4 a_1, a_2, a_3, a_4 is a permutation of the elements of the set {1,2,3,4 1,2,3,4 }?
Back to ProblemsView on AoPS