Question

A fun problem I found while studying that I'd like to share:

Answer 1

21 points are put randomly into the sectors. Some pair of adjacent sectors contains a total of at least 9 of the points, true or false? =)

Answer 2

pigeonhole principle i guess

Answer 3

5 holes and 21 pigeons

by pigeonhole principle one hole must contain atleast 5 pigeons

Answer 4

how come a pigeons hole got the credit for this thm

Answer 5

i believe i came up with this idea on OS

Answer 6

bahahaha

Answer 7

that doesnt answer the question exactly...

i like the pic in wiki
http://en.wikipedia.org/wiki/Pigeonhole_principle

Answer 8

it does

Answer 9

it got credit for eating a lunchables pizza