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Number of Elements in a Cartesian Product

If set A = 1,...

Question

If set A = {1, 2, 3} and set B = {2, 3, 5, 7}. Then the number of elements in A $\times$ B is ___

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Solution

Number of element in A $\times$ B = number of element in A $\times$ number of element in B.

= 3 $\times$ 4 = 12

A × B = {(1, 2), (1, 3), (1, 5), (1, 7), (2, 2), (2, 3), (2, 5), (2, 7), (3, 2), (3, 3), (3, 5), (3, 7)}

No of element in A $\times$ B = 12

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(i) $A_{1} = {- 2, - 1, 1, 3, 5}$

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