SET questions
AIM Math Teachers' Circle
July 2012

These are some questions made up by the participants of the 2012 AIM Math Immersion Workshop after learning the rules of the game SET.

How many cards in the SET deck?

Is it possible to use all the cards?

For any deck, is it possible to choose SETs in such a way so as to
exhaust the deck?

How many number sets are there?

How many different sets are there?

How many all different sets?  1-alike?  2-alike?  3-alike?

How many sets could one single card long to.

Design a game with 5 characteristics.  With 3 characteristics.

What is the probability of 12 cards without a set?

Is there a counting strategy that will help you identify sets quickly?