Question 8
In a tennis tournament, a player advances to the next round only by winning. If it is not possible always to advance an even number of players, the organizers decide which rounds certain players must play. For example, at the organizers' discretion a seeded player may enter in the second round or skip from the first to the third, so that an even number of players takes part in every round.
a. In a tournament with 64 players, how many matches are played?
b. What about a tournament with 2011 players?
a. In a tournament with 64 players, how many matches are played?
b. What about a tournament with 2011 players?