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902coo
20.09.2020 •
Mathematics
I’m stuck on this question please help me
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Ответ:
26 games in total.
Step-by-step explanation:
If in each game we have one winner and one loser, then after each game we have one less player.
first, out of 37 players, we can write it as 36 players + 1 player that does not play in the first round
the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games
in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.
Now, we can write 19 = 18 players + 1 player that does not play this round.
From the 18 players, we have 18/2 = 9 games.
And from those 9 games, we lose 9 players, so now we have:
19 - 9 = 10 players.
Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.
Now we can write 5 = 4 players + 1 player that does not play this round.
from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.
And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.
Then the total number of games is:
18 + 9 + 5 + 2 + 2 = 26 games