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How many ways are there to m-color the edges of the floating figures in Exercise 5? (Hint: The cycle index now is for symmetries of

How many ways are there to m-color the edges of the floating figures in Exercise 5? (Hint: The cycle index now is for symmetries of the edges.)

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The answers are

d) 1/4(m10 +m5 +m6 +m7),

(e) 1/12 (m12 +2m2 +2m4 +m6 +6m7),

I just don't know how to get there.

Thank you!

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