For two sets A and B, n(𝐴×𝐵) = n(𝐵×𝐴)TrueFalse
Question
For two sets A and B, n(𝐴×𝐵) = n(𝐵×𝐴)TrueFalse
Solution
True. The number of elements in the Cartesian product of two sets A and B, denoted as n(A×B), is equal to the number of elements in the Cartesian product of B and A, denoted as n(B×A). This is because the Cartesian product of two sets is the set of all ordered pairs that can be formed where the first element is from the first set and the second element is from the second set. The order of the sets does not change the number of possible ordered pairs.
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