Each year a local country club sponsors a tennis tournament. Play starts with 256 participants. During each round, half of the players are eliminated. How many players remain after 6 rounds?
Since 2^x =256
x = 8 total rounds. Therefore,
2^(8 - 6) =2^2 =4 players left after 6 rounds, or the semi-finalists.
The field is halved after every round......so.......after 6 rounds we have
256 / 2^6 = 256 / 64 = 4 players left