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