Math Is Fun Forum

imcute

Member

Registered: 2022-09-28

Posts: 176

3D pascal triangle(trinomial cooeffecients)

(btw,binomial coeffectients has nothing to do with the binomials,it was just found this way,eulers number should also be called constant of compounding but euler was too proud of this)
first,the reason of why the binomial coeffeicents are related to permutations:
bc its like having n options and asking the probability of m options chosen
expanding is just permutating
tldr:if binomial coeffecients fit on a bidimensional graph,then trinomial ones fit on a tridimensional graph(i.e pyramid)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,406

Re: 3D pascal triangle(trinomial cooeffecients)

imcute,

1. Use appropriate case when you answer.
2. Avoid abbreviations like btw, ty etc.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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imcute

Member

Registered: 2022-09-28

Posts: 176

Re: 3D pascal triangle(trinomial cooeffecients)

imcute,

1. Use appropriate case when you answer.
2. Avoid abbreviations like btw, ty etc.

Oh ok.