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16. College Classes: Out of 1500 first-year students at a certain college, 350 are taking history, 300 are taking mathematics, and 270 are taking both history and mathematics. How many of these students are taking at least one of these courses? 21. Use the Venn diagram below to find how many elements are in A but not in B 28. The Venn diagram below illustrates the number of seniors (5}, female students {F}, and students on the dean's list {D} at a small college. Describe each number in terms of the sets 5, F, or D. 49 D 347 45. For the set { a, b, c, d } (a) List all the subsets (b) How many subsets are there?1. True or False n( A UB ) = n( A ) + n( B ) + n( AnB) 8. For the sets A = { 1, 2, 3, 4, 5, 6 } and B = { 2, 4, 6, 8 }, find the number of elements in the set (BnA) UB 12. Find n( A n B ) given that n( A ) = 8, n( B ) = 9 and n( A UB ) = 16 13. Find n( A ), given that n( B ) = 8, n( An B ) = 4, and n( A U B ) = 14 15. Car Options: An auto manufacturer produced 325 cars with a GPS system, 216 cars with satellite radio, and 89 with both of these options. How many cars which had at least one of these options were manufactured?37. At a small college, the following statistics were determined: 31 female seniors were on the dean's list 62 female students were on the dean's list but were not seniors 45 male seniors were on the dean's list 87 female seniors were not on the dean's list 96 male seniors were not on the dean's list 275 female students were not on the dean's list and were not seniors 89 male students were on the dean's list but were not seniors 227 male students were not on the dean's list and were not seniors Draw a Venn diagram below (a) How many students were seniors? (b) How many female students were there? (c) How many were on the dean's list? (dl How many students were seniors and were on the dean's list? (e) How many female seniors were there? (f) How many female students were on the dean's list? lg} How many students were there at the college