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Let A={2,3} and B= {7,8}.write the power set of AxB.

Sagot :

[tex]A=\{2;\ 3\};\ B=\{7;\ 8\}\\\\A\times B=\{(2;7);\ (2;8);\ (3;7);\ (3;8)\}\\\\Power\ set\ of\ A\times B\ is\ the\ set\ of\ all\ subsets\ of\ A\times B\\\\\mathbb{P}(A\times B)=\{\O;\ \{(2;7)\};\ \{(2;8)\};\ \{3;7)\};\ \{(3;8)\}\\\{(2;7);\ (2;8)\};\ \{(2;7);\ (3;7)\};\ \{(2;7);\ (3;8)\};\\\{(2;8);\ (3;7)\};\ \{(2;8);\ (3;8)\};\ \{(3;7);\ (3;8)\}\\\{(2;7);\ (2;8);\ (3;7)\};\ \{(2;7);\ (2;8);\ (3;8)\};\\\{(2;7);\ (3;7);\ (3;8)\};\ \{(2;8);\ (3;7);\ (3;8)\}\\\{(2;7);\ (2;8);\ (3;7);\ (3;8)\}\}[/tex]
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