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Exam 2 Review Questions
SETS AND COUNTING METHODS QUESTIONS
(1) Mark each of the following statements about sets as “True” or “False.”
(a) The order of the elements does not matter.
(b) A set is allowed to have repeated elements.
(c) A set cannot be empty.
(d) All subsets of a set are smaller than the set itself.
(e) If two sets A and B are equivalent, they have to be equal.
(2) What are DeMorgan’s laws? Draw Venn Diagrams to justify each of DeMorgan’s Laws.
(3) Among a certain group of students, there are 22 students taking math and 26 students taking physics.
What are the maximum and minimum possible number of students in this group?
(4) License plate tags in a particular state are composed of 3 letters followed by 3 digits with repeated
letters and digits allowed. How many diﬀerent license plate tags can there be in this state?
(5) There are 4 TAs for Math 121, “WENFANG,” “RAYBAI,” “EMEKA,” and “STEPHANIE.” Cal
culate the number of distinguishable permutations of their names?
(6) What are the conditions for using the permutation formula? What are the conditions for using the
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 Fall '10
 Beaulieu
 Math, Sets, Counting, Probability

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