Answer to Question #303377 in Statistics and Probability for Nawrin Dewan

Question

Determine the Power set of 𝐴 × 𝐵 if 𝐴 = { 7, 8 } and 𝐵 = { 𝑎, 𝑏 }

Answer 1

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)={$\phi$ , {(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)} }