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Colored Balls #1


Puzzle ID:#18917
Fun:*** (2.33)
Difficulty:** (1.74)
Submitted By:ansh93****




You have five red balls, five yellow balls, and five blue balls.

How can you arrange them in a triangular frame with 5 rows so that no two balls of the same color are next to one another?

(Remember a triangular frame with five rows would go like
Row 1: one ball
Row 2: 2 balls
Row 3: 3 balls
Row 4: 4 balls
Row 5: 5 balls)


First row: Red (from left to right)
Second row: Yellow Blue (left to right)
Third row: Blue, Red, Yellow(left to right)
Fourth row: Red, Yellow, Blue, Red (left to right)
Fifth row: Yellow, Blue, Red, Yellow, Blue(left to right)


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Sep 23, 2004

There are other possible answers to this teaser. I worked out the pattern by using the numbers 1, 2 and 3 to represent the colours. Then it is easy to see that there are 6 answers.
Feb 27, 2005

Well, I was a little confused while reading the answers because I put blue where you thought red should be, but otherwise it was pretty easy but fun.
Oct 07, 2005

Yay, I got it. I made a graphical representation so it was easy to transfer your answer onto mine.
Sep 11, 2013

If you allow the triangle to be rotated in three dimensions and still considered the same, there is really only one answer. But if you are fixing the triangle's position, then yes there are 6 distinct answers made by switching up the colors.

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