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# Kombinatorik in groß?

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Zum Thema Kombinatorik. Wie rechne ich das? Ich habe eine Baugruppe bestehend aus 4 Bauteilen. Jedes Bauteil hat 48 verschiedene Hersteller. Jedes Bauteil eines jeden Herstellers hat 7 verschiedene Farben. Wieviele Kombinationen sind möglich?

23.01.2017

### Beste Antwort

#1
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4 * 48 * 7 = 1344 Möglichkeiten

23.01.2017

#1
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Beste Antwort

4 * 48 * 7 = 1344 Möglichkeiten

Gast 23.01.2017
#2
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On the subject of combinatorics. As I expect this? I have a board consisting of 4 components . Each component has 48 different manufacturers . Each component of each manufacturer has 7 different colors . How many combinations are possible?

component 1 can be 48 diff manufactures and 7 different colour,  that is 48*7 = 336 posiblilities.

there are 4 components so that is    4*336 = 1344 combinatons :)

23.01.2017
#3
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Why it is not 52^4^7? (52^28) ?

23.01.2017
#4
+118642
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Mmm,  I do not understad where you found 52 but I will explain my logic.

Mmm, ich verstehe nicht, wo Sie 52 gefunden, aber ich werde meine Logik erklären.

For my answer the components are on a board so each one is seperate,   they are not all just lumbered together.

The first component could be one of 48 different manufacturers.

Say it is the first manufacturer ... then it can be any of 7 colours.  That is 7 possibilities.

Say it is the second manufacturer.. again it culde be any of 7 colours.

So far that is 2*7=14 posibilities for the first component....

BUT there are 48 different manufacturers, not just 2 so really it is

48*7 posibilities for the first component.  This is true for each of the other 3 components as well.

So that is    48*7     +      48*7     +     48*7     +     48*7     = 4*48*7  = 1344 different possibilities.

I hope that helps. I am sorry I cannot present it in German for you. :)

Ich hoffe das hilft. Es tut mir leid, dass ich es Ihnen nicht auf Deutsch vorstellen kann. Aufrechtzuerhalten.

Melody  26.01.2017