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APPLEFACES

November 3, 2012

apophasis

Joe Allen
Joshua von Ammon
Michael Corris
Alexander DiJulio
Devin Kenny
Kelly Kroener
Samantha McCurdy
Eli Walker
Jeff Zilm
Opening reception 11/9/2012
7:00 pm – 11:00 pm, 11/9/2012 – 11/18/2012
Open by appointment: Contact lucy.kirkman@gmail.com
Studio DTFU
842 1st Ave, Dallas, TX 75226
 
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From → Events, News

3 Comments
  1. Given: 8 artists (Lucy Kirkman, Eli Walker, Kelly Kroener, Alexander DeJulio, Josh Von Ammon, Samantha McCurdy, Justin Hunter Allen, and Michael Morris).

    Find: How many two person exhibitions are possible in a group of 8 members? Ordered pairing in this instance is not relevant (that is, an exhibition of Lucy Kirkman and Michael Morris is the same as an exhibition of Michael Morris and Lucy Kirkman)

    Solution:

    1. Where ordered pairing is irrelevant, there are n!/(n-r)!/2 possible pairings in any set of n where each subset has two members.

    2. For n = 8 and r = 2, there are 56/2 = 38 possibile pairings:

    3. Schematically, this is shown as:

    1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8

    2/3, 2/4, 2/5, 2/6, 2/7, 2/8

    3/4, 3/5, 3/6, 3/7, 3/8

    4/5, 4/6, 4/7, 4/8

    5/6, 5/7, 5/8

    6/7, 6/8

    7/8

    3. Therefore, the future is bright!

  2. Er, surely you meant 56/2 = 28 possible pairings?

    Yes, I did!

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  1. This Week’s Visual Art, Nov 7-10: Gallery Openings, News, Reviews, and More | FrontRow

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