query: How would you prove this question about tuples
positive_passages.docid: 73224
positive_passages.text: number of ordered partitions of integer
negative_passages.docid: 77160
negative_passages.text: How to prove the cosets are distinct?
negative_passages.docid: 41726
negative_passages.text: Musical and combinatorial proof
negative_passages.docid: 15804
negative_passages.text: What's the difference between lists and tuples?
negative_passages.docid: 4610
negative_passages.text: Proving an identity with a combinatorial proof: $\binom{n}{k}\binom{k}{r}=\binom{n}{r}\binom{n-r}{k-r}$
negative_passages.docid: 134588
negative_passages.text: Seeking a direct proof about nested inclusions
negative_passages.docid: 100399
negative_passages.text: A doubt with a part of a certain proof.
negative_passages.docid: 156383
negative_passages.text: Proving a combinatorial identity without double counting
negative_passages.docid: 74730
negative_passages.text: Combinatorial Proof of ${{n}\choose{k}} {{k}\choose{j}} = {{n}\choose{j}} {{n-j}\choose{k-j}}$
negative_passages.docid: 88759
negative_passages.text: Proofs of Sylow theorems
negative_passages.docid: 35115
negative_passages.text: Questions on how to prove that a set of connectives is NOT functionally complete
negative_passages.docid: 111032
negative_passages.text: Proof of Sets involving the Cartesian Product
negative_passages.docid: 129680
negative_passages.text: Prove that $n$ is even.
negative_passages.docid: 76347
negative_passages.text: Shorter proof for some equvalences
negative_passages.docid: 145466
negative_passages.text: Is this a valid mathematical proof?
negative_passages.docid: 90904
negative_passages.text: Combinatorial proof of an identity with squared binomial coefficients
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets