suppose set a contains 55 elements and set b contains 54 elements. if set a and b have 16 elements in common, what is the total number of elements in either set a or set b

Answer 1

Drawing a Venn diagram of A and B, we see that there are 55 - 16 = 39 elements of A that are not in B, and there are 54 - 16 = 38 elements of B that are not in A. So the union A u B has a total of 39 + 16 + 38 = 93 elements.