Design a Fair Golf Schedule for 8 Players: 30 Rounds?

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A fair golf schedule for 8 players playing 30 rounds needs to ensure each golfer is paired with every other golfer an equal number of times. The discussion touches on the use of combinations and permutations to achieve this, with the formula nCr being relevant. There is confusion about the connection to differential equations, prompting a suggestion to move the topic to general mathematics. Participants emphasize the importance of understanding how to calculate these combinations for scheduling. The conversation highlights the complexities involved in designing a balanced schedule for the players.
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Can anyone design a golf schedule for 8 golfers, playing 30 rounds, with each golfer paired with every other golfer the same number of times, and playing against every other golfer the same number of times? Each team of 2 will play another team of 2 each time. If 30 doesn't compute, what number of games will fit the criteria?
 
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How do differential equations come into this? :confused:
 
there is equation you can use i just didnt pay enough attention to remember them. heh. combinations i think nCr
 
?? Yes, combinations are obviously involved. But why is it under differential equations? I'm going to move it to general mathematics.
 
Gloffer, if a hint is all you want, go over how to calculate permutations and combinations.
 
looks like he made a user name (gloffer=golfer) for someone here to figure out his dilemma.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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