CPSC50200 Homework 1: Set Theory Directions: Answer all eight questions and doub

CPSC50200 Homework 1: Set Theory Directions: Answer all eight questions and double check your answers. After you feel comfortable with your answers, go to the content folder and click on HW-1_Set_Theory to post your answers on blackboard. Make sure to submit your answers before the due date, you also need to allow yourself enough time (60 to 90 minutes) to submit your answers. Questions and answers will be in the forms of True/False, Multiple Choice, and Matchings. Notice questions on blackboard may not have matching numbers with the following questions. Some of the following questions could be broken into multiple questions. For questions 1 and 2, consider the following sets: , , , . 1. List all possible situations (from the sets above) where one given set is a subset of another different set. That is, writeall possible true statements where 2. Determine the result of each of the following set operations: (b)(c)(d)
(e)(f) 3. Given each set, list all the members of the Power Set. (a) (b) 4. For each of the following sets , determine the value of. Do not attempt to actually find the members of the Power Set, just the number of elements within the Power Set. (a)X = {A, B, C} (b)X = {A, B, C, D} (c)X = {} 5. Let S = {a, b, c, d, e, f, g, h}, determine whether or not each of the following is a partition of S: [{a, b, c, d}, {e, f}, {g}]
[{a, b, c, d, e}, {f, h}]
[{a, b, c}, {b, d, e}, {f, g, h}]
[{a, c}, {b, d}, {h, g, f}, {e}]
6. Given X = {a, b, c}, and Y = {z}, calculate the Cartesian Product for the followings: X x Y
Y x X
Y x Y
X xX
7. What is the cardinality of { {a}, {a,b}, {a,c}, a, b }? 8. In a survey of 150 people, it was found that 80 read Newsweek magazine,45 read both Newsweek and Time, 60 read Time magazine,23 read both Newsweek and Fortune, 40 read Fortune magazine,18 read both Time and Fortune, and 7 people read all three magazines. Draw a Venn diagram describing the three sets A = { people reading Newsweek } , B = { people reading Time } , C = { people reading Fortune }. Fill in the appropriate regions with the numbers obtained above.Next, use your diagram to determine how many people read just one magazine;
how many people read just Newsweek magazine
how many people read just Time magazine
how many people read just Fortune magazine
how many people do not read any magazine.
how many people read at least one magazine
Requirements: 200

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