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Prove that for all integers n ? 2, the number p(n) ? p(n ? 1)...

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Question

Advance Math

Prove that for all integers n ? 2, the number p(n) ? p(n ? 1) isequal

to the number of partitions of n in which the two largest partsare

equal.

Answer & Explanation Solved by verified expert
3.8 Ratings (437 Votes)
Answer Let beconstruct a bijection from the set of all partitions of n1 onto the set of all partitions of n that have at least one part equal to one The bijection is just simply adding a part equal to 1 to the end of each partition of n1 If the partition has its two largest sets with equal size send that partition to the    See Answer
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