Trivia

Subject:
Counter-example

Alex Y
In a party of 4, if:
AB, AC, BD, CD were friends, while
AD, BC were strangers,
you wouldn't be able to pick out three people who were all friends (three friendships) or three who were all strangers.

ABC is not a group of friends, because BC are strangers
ABD is not a group of friends, because AD are strangers
ACD is not a group of friends, because AD are strangers
BCD is not a group of friends, because BC are strangers

Similarly, none of the four possible groups of three are all strangers.

© 1998 - 2017 by Ellis Walentine. All rights reserved.
No parts of this web site may be reproduced in any form or by
any means without the written permission of the publisher.

WOODCENTRAL, P.O. BOX 493, SPRINGTOWN, PA 18081