Q3 of 65 Page 75

If A = {1, 2}, find A × A × A.

A = {1, 2}


A × A = {1, 2} × {1, 2} = {(1, 1), (1, 2), (2, 1), (2, 2)}


A × A × A = {1, 2} × {(1, 1), (1, 2), (2, 1), (2, 2)}


Therefore


A × A × A = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}


More from this chapter

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(i) n(A ∪ B)


(ii) n(A × B)


(iii) n(A × B) ∩ (B × A)


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