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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

8:13 pm

new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

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new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag

new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag