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  3. let n(n) be the number of all partitions of [n] wi

Let N(n) be the number of all partitions of [n] with no singleton blocks. And let...

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Advance Math

Let N(n) be the number of all partitions of [n] with nosingleton blocks. And let A(n) be the number of all partitions of[n] with at least one singleton block. Prove that for all n ? 1,N(n+1) = A(n). Hint: try to give (even an informal) bijectiveargument.

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