What Creature Has 1 Head, 6 Arms And 2 legs?

Discrete Mathematics Level 2

The above image is a common dance pose, used to create the illusion of a multi-limbed deity. The dancer in the front has her hands in the down position, the dancer in the middle has her hands in the center position and the dancer in the back has her hands in the up position.

Other than keeping hands to the respective sides, there is no restriction on the positions. For example, the dancer in the middle could have her left hand in the down position, and her right hand in the up position.

How many ways can 3 dancers recreate this dance illusion?

Image credit: Wikipedia

If you want another problem on multi-limbs, check out The Math Behind The Perfect Man.


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