1) Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, u, w, y, z} B = {s, y, z} C = {v, w, x, y}. List the elements in the set. (AC B) (AC CC) 2) Determine whether the statement is true or false. 16 {1, 2, 3, ..., 10} 3) Find the cardinal number for the set. {33, 35, 37, 39, 35, 41, 53} 4) List all the subsets of the given set. {Siamese, domestic shorthair, Persian} 5) Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, u, w, y} B = {q, s, u, y, z} C = {v, x, y, z}. List the elements in the set. A B 6) Use a Venn diagram to answer the question. At East Zone University (EZU) there are 821 students taking College Algebra or Calculus. 369 are taking College Algebra, 475 are taking Calculus, and 23 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?

7) Convert the numeral to a numeral in base ten. CAE416 8) Calculate the number of subsets and the number of proper subsets for the set. {1, 3, 5, 7, 9, 11, 13} 9) Convert the decimal number 259 to base two 10) Convert the decimal number 51,496 to a Mayan numeral. 11) Fifty students were surveyed and asked if they were taking a social science (SS), humanities (HM) or a natural science (NS) course the next quarter. 21 were taking a SS course

26 were taking a HM course 19 were taking a NS course

9 were taking SS and HM 7 were taking SS and NS 1

0 were taking HM and NS 3 were taking all three

7 were taking none. Draw a Venn diagram to determine the following: a) How many students were taking only social science? b) How many students were taking only humanities? c) How many students were taking only natural science?