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Let U=​{1,2, 3,​ ...,3200​}. Let S be the subset of the numbers in U that are...

Let

U=​{1,2, 3,​ ...,3200​}.

Let S be the subset of the numbers in U that are multiples of 4​, and let T be the subset of U that are multiples of 9. Since 3200 divided by 4 equals it follows that n(S)=n({4*1,4*2,...,4*800})=800

​(a) Find​ n(T) using a method similar to the one that showed that n(S)=800

​(b) Find n(S∩T).

​(c) Label the number of elements in each region of a​ two-loop Venn diagram with the universe U and subsets S and T.

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