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    Constant Rule? Why do we have to divide by 6?

    Module 0 Day 8 Challenge Part 1
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    • debbieD
      debbie ADMIN M0★ M1 M5
      last edited by debbie

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      • debbieD
        debbie ADMIN M0★ M1 M5
        last edited by debbie

        [Originally posted in Discussions]

        Module 0 Week 2 Day 8 Challenge Explanation

        So when Professor Loh said that you have to divide by half because you would've counted every intersection twice with 6 times 5 using the rule 6 choose 2, does that mean you have to divide by 2 after multiplying for every single question of this type?

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        • debbieD
          debbie ADMIN M0★ M1 M5
          last edited by

          Thanks for asking! It's not always true that you must divide by 2 to eliminate the copies, because sometimes you divide by other numbers. You can look at the long response to your earlier question. The number of triangles was

          97c7839b-c531-4573-9e13-0c4872c7c96f-image.png
          and we divided by 3!, which equals 6, because there are 6 copies of each way to make a triangle. These are the six ways to make a triangle with the red line, dark green line, and yellow line:

          M0W2D8-ch-lines-red-green-yellow-triangle-group-smaller.png
          The number of copies per way depends on the question.

          I hope this helps! Good luck on the rest of the course, and please ask if you have any more questions!

          Happy Learning,

          The Daily Challenge Team

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