Q. 133.8( 4 Votes )

If A = {5, 7), fi

Answer :

We have, A = {5, 7}

So, By the definition of the Cartesian product,


Given two non – empty sets P and Q. The Cartesian product P × Q is the set of all ordered pairs of elements from P and Q, .i.e.


P × Q = {(p, q) : p Є P, q Є Q}


Here, A = {5, 7} and A = {5, 7}.So,


A × A = {(5, 5), (5, 7), (7, 5), (7, 7)}


Now again, we apply the definition of Cartesian product to find A × A × A


Here, A = {5, 7} and A × A = {(5, 5), (5, 7), (7, 5), (7, 7)}


A × A × A = {(5, 5, 5), (5, 5, 7), (5, 7, 5), (5, 7, 7), (7, 5, 5), (7, 5, 7), (7, 7, 5), (7, 7, 7)}


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