The Cartesian product of two sets S and T, written S XT, is the set of...

 

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The Cartesian product of two sets S and T, written S XT, is the set of all ordered pairs (s, t) where s E S and t = T. That is, Notice that the cardinality of S XT is SxT={(s, t) | SET, tT}. |ST| = |S| |T|. Consider the sets A and B where |A| = 5 and |B|= 8. Answer the following questions using the Numbas synax for multiplication and for exponentiation. For example, 3 29 should be entered as 3*2^9. a) Evaluate |A X B|. b) Evaluate P(A x B)|. c) Evaluate | P(A) x P(B)|. Submit part Score: 0/1 Unanswered Submit part Score: 0/1 Unanswered Submit part The Cartesian product of two sets S and T, written S XT, is the set of all ordered pairs (s, t) where s E S and t = T. That is, Notice that the cardinality of S XT is SxT={(s, t) | SET, tT}. |ST| = |S| |T|. Consider the sets A and B where |A| = 5 and |B|= 8. Answer the following questions using the Numbas synax for multiplication and for exponentiation. For example, 3 29 should be entered as 3*2^9. a) Evaluate |A X B|. b) Evaluate P(A x B)|. c) Evaluate | P(A) x P(B)|. Submit part Score: 0/1 Unanswered Submit part Score: 0/1 Unanswered Submit part