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Let U = {1, 2, 3, ..., 5600}. Let S be the subset of the numbers in U that are multiples of 8, and

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Let U = {1, 2, 3, ..., 5600}. Let S be the subset of the numbers in U that are multiples of 8, and let T be the subset of U that are multiples of 3. Since 5600-8 = 700, it follows that n(S)= n({8.1, 8.2, ..., 8.700}) = 700. (a) Find n(T) using a method similar to the one that showed that n(S)=700. (b) Find n(SNT). (c) Label the number of elements in each region of a two-loop Venn diagram with the universe U and subsets S and T. (a) Find n(T). (b) Find n(SNT). (c) Which of the figures below is a Venn diagram with universe U with subsets S and T? A. . U S T D U A B Fill in the values for each of the four regions. B= A= 3 = C = , and D = [ S D A B C C. U S T A B C D

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