SOLUTION: Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two

Algebra ->  Permutations -> SOLUTION: Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two       Log On


   

Question 1207577: Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the two given colors be A and B.


Then there are 4 distinguishable/(different) ways to paint.


    - all three sides are of color A;

    - all three sides are of color B;

    - two sides are color A, one side is color B;

    - two sides are color B, one side is color A.



ANSWER.  There are 4 distinguishable/(different) ways to paint.

Solved.