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A puzzle based on combinatorics, which is the study of counting discrete structures. Use with [mathematics]
4
votes
Every tournament has a dominant player
Constructive proof:
Consider a person P who won the greatest number of matches. (If there is a tie for most, choose any of them.) This person is a dominant player.
If P is not a dominant player, the …
11
votes
Accepted
Anna and Boris play the Red Blue game
That score is attainable with:
1
vote
Find the least number of objects from a jar when those have two colors
Conifers has shown that it's possible to draw 15 candies without drawing 7 of some color. (3 of each type of candy)
To show that 16 candies forces 7 of some color:
#(green-blue) + #(green-red) <= 6
#( …