Notes: * represents multiplication, / represents division.
When there are two participants,
# of combinations = 6 * 5 / 2 = 15
When there are three participants,
# of combinations = 6 * 5 * 4 / (2 * 3) = 20
When there are four participants,
# of combinations = 6 * 5 * 4 * 3 / (2 * 3 * 4) = 15
When there are five participants*,
# of combinations = 6 * 5 * 4 * 3 * 2 / (2 * 3 * 4 * 5) = 6
When there are six participants,
there's only one combination, duh!
So that is a total of 57 ways to have hot Thornstrom/Arkora/Natuzzi goodness! Why, that's as many ways as there are varieties of tomatoes in Heinz ketchup! :D
*I must say that the five participant case saddens me, as there will be one poor guy left out. Maybe he gets to watch?
[Edit: I think the general formula, where x is the total number of participants, and y is the number of participants involved, is x! / ((x-y)! * y!).]
How many of those 57 combinations have we covered? Not many! Get cracking everyone! *peers at Lira* *peers at Frala* *peers at Tammy too, just because*
Viva la revolucion!