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- Combinatorial_proof abstract "In mathematics, the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in two different ways to obtain the different expressions in the identity. Since those expressions count the same objects, they must be equal to each other and thus the identity is established. A bijective proof. Two sets are shown to have the same number of members by exhibiting a bijection, i.e. a one-to-one correspondence, between them.The term "combinatorial proof" may also be used more broadly to refer to any kind of elementary proof in combinatorics. However, as Glass (2003) writes in his review of Benjamin & Quinn (2003) (a book about combinatorial proofs), these two simple techniques are enough to prove many theorems in combinatorics and number theory.".
- Combinatorial_proof wikiPageExternalLink proofs-that-really-count.
- Combinatorial_proof wikiPageID "741875".
- Combinatorial_proof wikiPageRevisionID "573037719".
- Combinatorial_proof hasPhotoCollection Combinatorial_proof.
- Combinatorial_proof subject Category:Enumerative_combinatorics.
- Combinatorial_proof subject Category:Mathematical_proofs.
- Combinatorial_proof type Abstraction100002137.
- Combinatorial_proof type Argument106648724.
- Combinatorial_proof type Communication100033020.
- Combinatorial_proof type Evidence106643408.
- Combinatorial_proof type Indication106797169.
- Combinatorial_proof type MathematicalProof106647864.
- Combinatorial_proof type MathematicalProofs.
- Combinatorial_proof type Proof106647614.
- Combinatorial_proof comment "In mathematics, the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in two different ways to obtain the different expressions in the identity. Since those expressions count the same objects, they must be equal to each other and thus the identity is established. A bijective proof.".
- Combinatorial_proof label "Combinatorial proof".
- Combinatorial_proof label "Preuve combinatoire".
- Combinatorial_proof sameAs Preuve_combinatoire.
- Combinatorial_proof sameAs m.037h6p.
- Combinatorial_proof sameAs Q3402784.
- Combinatorial_proof sameAs Q3402784.
- Combinatorial_proof sameAs Combinatorial_proof.
- Combinatorial_proof wasDerivedFrom Combinatorial_proof?oldid=573037719.
- Combinatorial_proof isPrimaryTopicOf Combinatorial_proof.