If set P = {2, 4, 6, 8} and set Q = {2, 3, 5, 7}. Find the number of elements in P $\times$ Q.

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Solution

Number of element in P $\times$ Q = number of elements in P × number of elements in Q

= 4 $\times$ 4 = 16

P $\times$ Q = {(2, 2), (2, 3), (2, 5), (2, 7), (4, 2), (4, 3), (4, 5), (4, 7), (6, 2), (6, 3), (6, 5), (6, 7), (8, 2), (8, 3), (8, 5), (8, 7)}

n( P $\times$ Q) = 16

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