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Cardinality

If A= -1,1, t...

Question

If $A =$ { $- 1, 1$ }, then find $A \times A \times A$ .

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Solution

Given: $A =$ { $- 1, 1$ }

Cartesian product of two sets
Cartesian product of three non-empty set is given by
$A \times A \times A =$ { $(a, b, c) : a, b, c ϵ A$ }
So, $A \times A \times A$ { $(- 1, - 1, - 1), (- 1, - 1, 1), (- 1, 1, - 1), (- 1, 1, 1), (1, - 1, - 1), (1, 1, - 1), (1, 1, 1), (1, - 1, 1)$ }.

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