Write a C++ program to accomplish the following:

Considering the following C++ declaration: int A[2]; int B[3]={1,2,3}; int C[2];

1) Input numbers for A and input for C (i.e cin >> x >> y) 2) Do the Cartesian product in example 1.2.7 3) Output all ordered pair and ordered triples.

Let A = {x, y}, B = {1, 2, 3}, and C = {a, b}.

a. Find A x B b. Find B x A c. Find A x A d. How many elements are in A x B, B x A, and A x A e. Find (A x B) x C f. Find (A x B) x C g. Let R denote the set of all real numbers. Find R x R such that {x set of all element in R | -5 Example 1.2.7 Cartesian Products Let A = {x, y}, B = {1, 2, 3}, and C = {a, b}. a. Find A XB. b. Find B X A. c. Find A X A. d. How many elements are in A X B, B X A, and A X A? e. Find (A X B) XC f. Find A XB XC g. Let R denote the set of all real numbers. Describe R X R