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26 Mar 2019, 09:31
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Experts please comment on my way of solution. I think combinatorics formulas are often restrictive and confusing. I solved this problem by the following way:
So, there are 8 teams and each team plays with each team, meaning that each team plays 7 games (except with itself, of course). So, there are 8*7= 56 games (counting as if only one team plays a game) will be played in total. If a game is played by 2 teams, so there should be 56/2=28 games as a result.
Is this a viable mehtod?
So, there are 8 teams and each team plays with each team, meaning that each team plays 7 games (except with itself, of course). So, there are 8*7= 56 games (counting as if only one team plays a game) will be played in total. If a game is played by 2 teams, so there should be 56/2=28 games as a result.
Is this a viable mehtod?
26 Mar 2019, 13:11
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Hi Mehemmed,
YES - your way is a valid way to approach this question. As you continue to study, you'll find that most questions in the Quant and Verbal sections can be approached in more than one way. Thus, maximizing your performance on Test Day involves more than just answering questions correctly - you have to ALSO be efficient with your approach. By extension, honing multiple skills (so that you can choose which approach is easiest on any given question) is an idea that you might want to implement in your broader study plan.
GMAT assassins aren't born, they're made,
Rich
YES - your way is a valid way to approach this question. As you continue to study, you'll find that most questions in the Quant and Verbal sections can be approached in more than one way. Thus, maximizing your performance on Test Day involves more than just answering questions correctly - you have to ALSO be efficient with your approach. By extension, honing multiple skills (so that you can choose which approach is easiest on any given question) is an idea that you might want to implement in your broader study plan.
GMAT assassins aren't born, they're made,
Rich
27 Mar 2019, 19:06
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Yes and no. If you think because a game is played by 2 teams, thus it means dividing by 2, then no. Since 2 here really means 2!. The actual reason for dividing 56 by 2 is that when we find 8*7 = 56, each game is counted twice. For example, if a game is played by 3 teams, then it should be divided by 3!, not the number 3.
