Question 17
Sixteen players enter a chess tournament which offers a prize to the winner in each of an upper section and a lower section. Winners of the matches in round one are placed in the upper section. The players who lose matches in round one are placed in the lower section. From this point onward, players only play opponents in their own section and are eliminated from receiving a prize after their next loss. If there are no ties, how many matches are played in the tournament?
