Boltzmann Equation for Entropy:
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No, I really doubt you will need to draw out the orientations as long as you can know the number there really are. Drawing them is just helpful but like if you had some molecule in which there were many many possible orientations it could get pretty annoying. So only do it if it helps you or if the problem asks you to show the orientations
For simple ones, you don't really have to draw them out because you can just imagine them. However, when it gets more complex drawing them out will help you see all the possible orientations. I can't think of any other way to count the orientations without thinking visually or drawing them. If anyone else knows another way that would be great!
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