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I am learning about the cartesian product as defined by The New Oxford American Dictionary as:

the product of two sets: the product of set X and set Y is the set that contains all ordered pairs ( x, y) for which x belongs to X and y belongs to Y.

How can I use this in life? A simple practical example would help a lot.

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    $\begingroup$ Ever seen $\mathbb{R^2}$, where we often draw graphs? $\endgroup$ – Christopher Jul 16 '15 at 0:49
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    $\begingroup$ Once you explain the ways in which you are currently using the concept of a set in real life, we can figure out how the Cartesian product of sets is going to help you. $\endgroup$ – Zev Chonoles Jul 16 '15 at 0:50
  • $\begingroup$ Some math books don't give real life situations where you can use it. They just show you the formula and how to calculate it. I am trying to find a way to use the concept in real life situations. $\endgroup$ – Robert Rocha Jul 16 '15 at 1:05
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    $\begingroup$ any piece of information that requires two (or more) dependent or independent pieces of information can be seen as a cartesian product. $\endgroup$ – hjhjhj57 Jul 16 '15 at 2:07
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A certain kind of Lacoste pullovers comes in five colors, three different neck forms, and in six sizes. Let $$\eqalign{C&:=\{{\rm blue,\ red,\ yellow,\ green,\ brown}\}\ ,\cr N&:=\{{\rm round\ neck, \ V{-} neck,\ polo{-}neck}\}\ ,\cr S&:=\{{\rm XS,\ S,\>M,\ L,\ XL,\ XXL}\}\cr}$$ be the sets of colors, neck forms, and sizes, respectively. Then the set of all variants to be manufactured is the triple cartesian product $C\times N\times S$, and consists of $5\cdot 3\cdot 6=90$ elements. As a store manager selling this kind of sweater you would have to make room for $90$ heaps.

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  • $\begingroup$ Very nice! Thank you very much. Just what I was looking for. I can now come up with some example and uses myself. $\endgroup$ – Robert Rocha Jul 16 '15 at 23:15

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