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OG 18, question-187

This topic has 2 expert replies and 0 member replies

OG 18, question-187

Post Sun Oct 15, 2017 4:22 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

    A. 15
    B. 16
    C. 28
    D. 56
    E. 64

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sun Oct 15, 2017 5:48 am
    vaibhav101 wrote:
    There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

    A. 15
    B. 16
    C. 28
    D. 56
    E. 64
    There are 8 teams. If we ask each team, "How many teams did you play?" we'll find that each team played 7 teams, which gives us a total of 56 games (since 8 x 7 = 56).

    From here we need to recognize that each game has been COUNTED TWICE.
    For example, if Team A and Team B play a game, then Team A counts it as a game, and Team B ALSO counts it as a game.

    So, to account for the DUPLICATION, we'll divide 56 by 2 to get 28 (C)
    --------------------------
    Here are three related questions:
    http://www.beatthegmat.com/ugghhh-i-pick-this-question-from-btg-forum-t267675.html
    http://www.beatthegmat.com/number-of-handshakes-t100109.html
    http://www.beatthegmat.com/soccer-time-t70860.html

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
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    Thanked by: vaibhav101
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    Post Sun Oct 15, 2017 5:52 am
    vaibhav101 wrote:
    There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

    A. 15
    B. 16
    C. 28
    D. 56
    E. 64
    We can also use counting techniques to answer this question.

    The question is asking us to determine the number of different ways to select 2 teams to play a game.
    Since the order in which we select 2 teams does not matter, we can use COMBINATIONS

    We can select 2 teams from 8 teams in 8C2 ways
    8C2 = 28

    If anyone is interested, we have a free video on calculating combinations (like 8C2) in your head: http://www.gmatprepnow.com/module/gmat-counting/video/789

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    Thanked by: vaibhav101
    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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