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If P= {8,4} and Q= {3,5}, is P x Q= Q x P?Yes or No

Question

If P= {8,4} and Q= {3,5}, is P x Q= Q x P?Yes or No

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Solution

No. The order of elements in a Cartesian product (P x Q) does matter. P x Q is not the same as Q x P.

P x Q = {(8,3), (8,5), (4,3), (4,5)} Q x P = {(3,8), (3,4), (5,8), (5,4)}

As you can see, the pairs in P x Q are not the same as the pairs in Q x P. Therefore, P x Q is not equal to Q x P.

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