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Determine the Power set of 𝐴 × 𝐵 if 𝐴 = { 7, 8 } and 𝐵 = { 𝑎, 𝑏 }
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Solution:
𝐴 = { 7, 8 } and 𝐵 = { 𝑎, 𝑏 }
𝐴 × 𝐵 = {(7,a), (7,b), (8,a), (8,b)}
n(P(𝐴 × 𝐵)) = 42=16
P(𝐴 × 𝐵)={ , {(7,a)}, {(7,b)}, {(8,a)}, {(8,b)}, {(7,a), (7,b)}, {(7,a),(8,a)}, {(7,a),(8,b)}, {(7,b),(8,a)}, {(7,b),(8,b)}, {(8,a),(8,b)}, {(7,a), (7,b), (8,a)}, {(7,a), (7,b), (8,b)}, {(7,b), (8,a), (8,b)}, {(7,a), (8,a), (8,b)}, {(7,a), (7,b), (8,a), (8,b)} }