Problem 12
Don't forget to show your
WORK with your solution!
Given any 3 integers, it can clearly be shown that there is at least
one subset of two integers whose average is also an integer.
Prove that given any 5 integers, there is at least one subset
of three integers whose average is also an integer.
Also, determine the smallest number k (with proof), such that given any k integers,
there is at least one subset of four integers whose average is also an integer.
Students, email your solutions to
UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday February 3rd, 2012.
Along with your solution, include your name, your school's name,
the name of your math teacher or math club moderator, and your year in school.
