the disney golf classic starts with 64 golfers. the golfers form pairs and each pair plays a match. the losers drop out and the winners of each pair then form new pairs and play again. then those winners form pairs and play. this continues until there is one winner. in how many matches must the winner play?how many matches are played by all the golfers to determine the winner?
64 -> 32 in the first round
32 -> 16 in the second round
16-> 8 in the third round
8 -> 4 in the fourth round
4-> 2 in the semifinals
2-> 1 in the finals
There are a total of six rounds and the winnner must win in each of them.
The total number of matches is 32 + 16 + ... + 2 + 1. Add them up
Yes thank you now I can finaly do my sunshine math:):) thank you so much
63
that's so hard thank you
The winning player will play at 6 matches
To find the number of matches the winner must play, we can count the number of matches in each round and add them up.
In the first round, there are 64 players and they form 32 pairs. Each pair plays one match, so there are 32 matches in the first round.
In the second round, the 32 winners from the first round form 16 pairs. Again, each pair plays one match, resulting in 16 matches in the second round.
This process continues for each subsequent round: 16 winners form 8 pairs in the third round, resulting in 8 matches; 8 winners form 4 pairs in the fourth round, resulting in 4 matches; 4 winners form 2 pairs in the semifinals, resulting in 2 matches; and finally, the 2 semifinal winners form 1 pair in the finals, resulting in 1 match.
To find the total number of matches, we need to add up the number of matches in each round:
32 + 16 + 8 + 4 + 2 + 1 = 63
Therefore, the winner of the Disney Golf Classic must play a total of 63 matches to win the tournament.
Now let's calculate the number of matches played by all the golfers to determine the winner.
In the first round, there are 32 matches.
In the second round, there are 16 matches.
In the third round, there are 8 matches.
In the fourth round, there are 4 matches.
In the semifinals, there are 2 matches.
In the finals, there is 1 match.
To find the total number of matches played, we can add up the number of matches in each round:
32 + 16 + 8 + 4 + 2 + 1 = 63
Therefore, all the golfers playing in the Disney Golf Classic must play a total of 63 matches to determine the winner.