Stacking Bowls

Discrete Mathematics Level 4

I have a set of six plastic bowls I use to serve food to my three-year-old twins:

They are mostly white, with different colored trim: Two are blue, two are pink, and two are green.

How many ways can these six bowls be stacked so that no two bowls of the same color are touching each other? (One such way is pictured above.)


  • Consider the bowls of the same color to be identical. So switching the two green bowls, for example, would not create a new arrangement.

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