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Let A = {1, 2} and B = {3, 4}. Write A x B. How many subsets will A x B have? List them. |
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Answer» Given A = {1, 2} and B = {3, 4} A x B = {(1, 3), (1,4), (2, 3), (2, 4)} ∴n (A x B) = 4 Number of subsets of A x B = 24 =16 Subsets of A x B are: A x B, φ, {(1, 3)}, {(1, 4)}, {(2, 3)}, {(2, 4)}, {(1, 3), (1, 4)}, {(1, 3), (2, 3)}, {(1, 3), (2,4)}, {(1,4), (2, 3)}, {(1, 4), (2, 4)} {(2, 3), (2, 4)}, {(1, 3), (1, 4), (2, 3)}, {(1, 3), (1, 4), (2, 4)}, {(1,4), (2, 3), (2, 4)}, {(2, 3), (2,4), (1, 3)}. |
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