Given the sets A a b c B 1 2 3 4 C x y z Find B x A x CSo

Given the sets A = {a, b, c} B = {1, 2, 3, 4} C = {x, y, z}; Find B x A x C.

Solution

Given the sets A = {a, b, c}, B = {1, 2, 3, 4}, C = {x, y, z};

then B x A = {{a, 1}, {a, 2}, {a, 3}, {a, 4}, {b, 1}, {b, 2}, {b, 3}, {b, 4}, {c, 1}, {c, 2}, {c, 3}, {c, 4}}.

then B x A x C = {{{a, 1}, x}, {{a, 1}, y}, {{a, 1}, z}, {{a, 2}, x}, {{a, 2}, y}, {{a, 2}, z}, {{a, 3}, x}, {{a, 3}, y}, {{a, 3}, z}, {{a, 4}, x}, {{a, 4}, y}, {{a, 4}, z}, {{b, 1}, x}, {{b, 1}, y}, {{b, 1}, z}, {{b, 2}, x}, {{b, 2}, y}, {{b, 2}, z}, {{b, 3}, x}, {{b, 3}, y}, {{b, 3}, z}, {{b, 4}, x}, {{b,4 }, y}, {{b, 4}, z}, {{c, 1}, x}, {{c, 1}, y}, {{c, 1}, z}, {{c, 2}, x}, {{c, 2}, y}, {{c, 2}, z},{{c, 3}, x}, {{c, 3}, y}, {{c, 3}, z}, {{c, 4}, x}, {{c, 4}, y}, {{c, 4}, z}}