calc entropy through direction/position [ENDORSED]

[dana hu 1B]

Hello,
I am not understanding how to approach answering this question.

1)Nanotechnologists have found ways to create and manipulate structures containing only a few molecules. However, orienting the molecules in specific ways to assemble such structures can be difficult. Calculate the entropy of a solid nanostructure made of 64 molecules in which the molecules (a) are all aligned in the same direction; (b) lie in any one of four orientations with the same energy.

Any help is greatly appreciated.
Thank you!

[Chem_Mod]

Please include the number of your problem (ie 4A.19) to help us better assist you

[dana hu 1B]

Please include the number of your problem (ie 4A.19) to help us better assist you

Sorry about that. It's from topic 4G exercise, problem 1. Thank you!

[Chem_Mod]

(a) are all aligned in the same direction

There is one unique structure: all 64 molecules are aligned in the same direction

degeneracy, W = possible positions^N = 1⁶⁴

(b) lie in any one of four orientations with the same energy

each molecule can have one of four possible orientations

degeneracy, W = possible positions^N = 4⁶⁴