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Cartesian Product

Explore the concept of Cartesian product in set theory by understanding ordered pairs and how they form combinations from two sets. Learn key properties, examine related examples, and gain practical skills by computing Cartesian products using Python, enhancing your grasp of fundamental set operations.

Ordered pair

An ordered pair (x,y)(x,y) is a collection of two elements, xx and yy, that are assigned a particular order. Here, it’s important to note that in the pair (x,y)(x,y), xx is the first element and yy is the second element. So, if xyx\ne y, then we can conclude that (x,y)(y,x)(x, y)\ne (y, x). Moreover, given that (x,y)=(j,k)(x, y) = (j, k), we can deduce that it means x=jx = j ...