Let U = {1, 2, 3, ..., 1600). Let S be the subset of the

Last updated: 7/5/2022

Let U = {1, 2, 3, ..., 1600). 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 1600+4=400, it follows that n(S) = n((4-1, 4-2,4-400))=400. (a) Find n(T) using a method similar to the one that showed that n(S) = 400. (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. (a) Find n(T).