### Brain Teasers

# Colored Balls #1

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)

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)

### Answer

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)

Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Comments

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.

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.

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

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.

## Follow Braingle!