Math245Sols2Sum00

# Math245Sols2Sum00 - MATH 245: QUIZ 2 SOLUTIONS 1) a) b)...

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MATH 245: QUIZ 2 SOLUTIONS 1) a) {2, 3, 5, 7, 11, 13, 17, 19} b) | T | = 8 2) a) False ; is not an element of S . b) True ; is always a subset of any [reasonable] set. c) If n = | S | = 4, then | P ( S ) | = 2 n = 2 4 = 16 d) True ; is always a member of the power set of a [reasonable] set. e) True ; P ( S ) is, itself, a set, so is a subset. 3) The cardinality of A × B is mn , so the cardinality of P ( A × B ) is 2 mn . One interpretation: Think of a two-dimensional coordinate system in which the elements of A are the possible horizontal coordinates and the elements of B are the possible vertical coordinates. Then, A × B is the set of all mn possible points in this coordinate system. P ( A × B ) then consists of all possible graphs, or point- plots; its cardinality is 2 mn , which corresponds to the fact that each of the 2 mn points can be either in a given point-plot or not. 4)

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## This note was uploaded on 09/08/2011 for the course MATH 245 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math245Sols2Sum00 - MATH 245: QUIZ 2 SOLUTIONS 1) a) b)...

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