Orienting a dodecahedron

Probability Level 2

Find the number of ways in which you can orient a regular dodecahedron to look just like the picture at right.


The answer is 60.

Geoff Pilling by Geoff Pilling , 53, USA

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1 solution

Geoff Pilling
Dec 22, 2016

You have 12 choices for the "base" or the face on the bottom, and for each choice you can rotate the dodecahedron into one of 5 positions. That gives you a total of 12 × 5 = 60 12 \times 5 = \boxed{60} orientations.

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