Question: A rectangular prism 2ft long with 1-ft square ends is to have each of its six faces painted with one of six possible colors. How

A rectangular prism 2ft long with 1-ft square ends is to have each of its six faces painted with one of six possible colors. How many distinguishable painted prisms are possible if 

a. No color is to be repeated on different faces, 

b. Each color may be used on any number of faces?  

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a The group G of rigid motions of the prism has order 8 four positions leaving the end ... View full answer

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