Problema Solution
There are 16 people playing a two-person game. If each player wants to play every other player exactly once, then how many games must be played?
Answer provided by our tutors
We will use the formula for the number of possible combinations of 2 objects from a set of 16 objects:
C(16 , 2) = 16!/(2!(16 - 2)!)
C(16, 2) = 16!/(2*14!)
C(16, 2) = 15*16/2
C(16, 2) = 120
120 games must be played.