Points to note for Cartesian product o
o
Two ordered pairs are equal , if and only if the corresponding first elements are equal and the second elements are also equal .
A × A × A = {( a , b , c ) : a , b , c ∈ A }. Here ( a , b , c ) is called an ordered triplet .
o A x { infinite set } = { infinite set } where A is non-empty set . o n ( A x B ) = n ( A ) * n ( B ) o n ( A x B x C ) = n ( A ) * n ( B ) * n ( C ) o
AxB ≠ BxA