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Posted by on Sunday, September 18, 2011 at 1:17pm.

If there are 10 points on a lone how many line segements does that make?

  • Geometry - , Sunday, September 18, 2011 at 1:45pm

    If the 10 points include the two endpoints,
    then a line segment is identified by 2 points at a time
    so the number is
    C(10,2) = 45

    e.g. suppose you label the points
    A B C D ... J
    then possible line segments are
    AB
    AC
    AD
    ..
    AJ
    BC
    BD
    ..
    BJ
    ..
    IJ
    that is : 9+8+7+6+5+4+3+2+1 = 45

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