How many games?

S

Susan2013

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Hi, I am trying to solve this problem and not confident about it. Can you please solve it?

Arman, Betty, Calcie, and David play checkers. Each of the 4 players played 2 games with every other player. How many games of checkers were there altogether?

I greatly appreciate your help in this!

Thanks!
Susan
 
How I solve it?

Sorry, I forgot to mention in my last post as to how I solved it.
I made combinations of the games that they all played together and got 12 games as answer, but I am not sure if it is the correct answer.

Any help is valuable at this moment!

Thanks
 
A double round robin! Here's how I would have done it: each person played two games each against each of the three other players- each player played 6 games. Since there are four players that is 4(6)= 24 games, altogether.

But each game involves two players so that is really 24/2= 12 games, as you say.
 
more thoughts!

HallsofIvy said:
A double round robin! Here's how I would have done it: each person played two games each against each of the three other players- each player played 6 games. Since there are four players that is 4(6)= 24 games, altogether.

But each game involves two players so that is really 24/2= 12 games, as you say.
Click to expand...

Thanks for the explanation! I kind of get it your way, but not able to understand that last part where you divide it by 2.
When I solved it I just made combination like: AB AC AD
BA BC BD
CA CB CD
DA DB DC
total = 12 games as each player is already playing 2 games with each other.
What are your thoughts? Is this seems logical?

Thanks!
Susan
 
Susan2013 said:
Hi, I am trying to solve this problem and not confident about it. Can you please solve it?

Arman, Betty, Calcie, and David play checkers. Each of the 4 players played 2 games with every other player.
*This is poor wording. For instance, if you were assigned to work "every other" problem in a list of
exercises, you would working 1/2 (or near number depending).

For example, you would do 1, 3, 5, 7, ... or possibly 2, 4, 6, 8,,,

How many games of checkers were there altogether?
Click to expand...


...
 
Susan2013 said:
I think the problem is correctly stated. I don't see any problem with the wordings.
Click to expand...


Examples:

There are four players seated around a table. I am not one of them. I played every other
player one time each. How many games were played? Two.


There are four players seated around a table. I am not one of them. I played all of
the other players one time each. How many games were played? Four.
 
Last edited:
lookagain's point is that "every other player" is ambiguous. Yes, you intended "each of the other players" but if i have 8 packages and I open "every other package" I have opened 4 of them.
 
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