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Question: 9 clearly there is only 1p1 partition of 1 with...

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9. Clearly there is only 1-p1 partition of Ω,1 with one part, namely Ω, and there is only 1- P partition of 2, with n parts, namely f1,2). n For 2 Sk n -1 assume there are P; distinct partitions of 2n with k parts. Prove that the number of partitions of Ωη +1 with k parts, with 2 < k < n is Pk-1 + kpk. Use this to fill in the table below and determine the number of partitions ofn, and Ω6. 12 nlk 23 45 6 71 1

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