Posted by sanji on Wednesday, May 8, 2013 at 6:51am.
Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w in a set of the same color such that x+y+z=w.
Details and assumptions:
The phrase not necessarily distinct means that the integers can be repeated. For example, if 1,2,4 are all colored red, then we have 1+1+2=4 which would satisfy the condition.

geometry!!! please help me!!!!  a, Wednesday, May 8, 2013 at 12:54pm
345

geometry!!! please help me!!!!  Sambaran G., Thursday, May 9, 2013 at 9:57am
wrong

geometry!!! please help me!!!!  Sambaran G., Saturday, May 11, 2013 at 7:22am
help please
Answer This Question
Related Questions
 MATH combinatorics HELP!!!!!  Determine the least positive integer n for which ...
 geometry  A smooth partition of the integer n is a set of positive integers a1,...
 Math  Paulo withdraws the same amount from his bank account each week to pay ...
 math  If n is a positive integer, n! is the product of the first n positive ...
 math  Find the sum of the first one thousand positive integers. Explain how you...
 Discrete Math  Theorem: For every integer n, if x and y are positive integers ...
 Math  A smooth partition of the integer n is a set of positive integers a 1 ,a ...
 MATH  Find the only positive integer whose cube is the sum of the cubes of ...
 11th grade mths  Please check urgently .I have to submit the assignment A give ...
 maths  the non decreasing sequence of odd integers {a1, a2, a3, . . .} = {1,3,...
More Related Questions