Ononot — Let U = \{1, 2, \dots, 30\} be the universal set. Let P be t

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Set Theoryhard

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Let $U = \{1, 2, \dots, 30\}$ be the universal set. Let $P$ be the set of prime numbers in $U$ . Let $M_3$ be the set of multiples of 3 in $U$ . Let $M_5$ be the set of multiples of 5 in $U$ . Determine the cardinality of the set $(P \Delta M_3) \cap M_5$ .