7. Construct the generating functions for the number of partitions of n such that: a. No part is a multiple of 3 b. No part appears 3 or more times Show using algebra that the generating functions from parts a) and b) are equal. C.

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A: .

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Q: 7) Show that for any permutations a and ß in Sn, a*ß and ß have the same parity.

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