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Problem 2 (40 pts): Universal set U={1,2,,100} is given. The following sets are subsets of the universal set U: A={x | x is even, i.e.

Problem 2 (40 pts): Universal set U={1,2,,100} is given. The following sets are subsets of the universal set U: A={x | x is even, i.e. x is evenly divisible by 2} B={y | y is evenly divisible by 3} C={z | z is evenly divisible by 5} Determine |A B C|. Give a for loop in Java to display all the numbers in A B C in such a way that only 10 elements will be displayed in each row except the last one. for(n=1;n<=100;n++){ if( ((n%3!=0) || (n%5!=0)) { . } } Describe set D={n | body of if statement above is executed} in terms of sets given above and set operations. for(n=1;n<=100;n++){ if( ((n%2!=0) && (n%5==0)){ . } } Like (c), describe a set E for body of if statement.

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