TITLE: Multiplication of Set Discrete math
QUESTION [7 upvotes]: I ran into some problems.
Do you guys have any ideas about multiplication of set?
For example:
$A = \{1,2,3\},\quad B = \{x,y\},\quad C=\{0,1\}$
What will you do if I want to see: $A\times(B\times C)$
Can you do the binary method?

REPLY [15 votes]: The symbol $\times$ is used to denote the "Cartesian Product" of two sets: it results in a set with ordered pairs.
The Cartesian product (some call it the "cross product" of sets) $X \times Y$ is defined such that $$X\times Y = \{(x, y)\mid x \in X, y\in Y\}$$
I'll get you started: $$B\times C = \{(x, 0), (x, 1), (y, 0), (y, 1))\}$$