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# Pascal’s rule

Pascal’s rule is the binomial identity

$\binom{n}{k}+\binom{n}{k-1}=\binom{n+1}{k}$ |

where $1\leq k\leq n$ and $\binom{n}{k}$ is the binomial coefficient.

Keywords:

number theory combinatorics

Related:

BinomialCoefficient, VandermondeIdentity, PascalsTriangle, TheoremOfThePrimalRay, Mm2, Mm, LeTheoremeDuRayonPrimal, LeDeuxiemeTheoremeDuRayonPrimal, AProofOfGoldbachConjecture, AProofOfDePolignacConjectures, FermatGhanouchiSeriesAmazingFermatGhanouchiSequ

Type of Math Object:

Theorem

Major Section:

Reference

## Mathematics Subject Classification

05A19*no label found*

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## Recent Activity

Jul 5

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo