By Howard Anton; Bernard Kolman
ISBN-10: 0120595656
ISBN-13: 9780120595655
Life like and proper purposes from quite a few disciplines aid inspire enterprise and social technology scholars taking a finite arithmetic path. a versatile supplier permits teachers to tailor the ebook to their path
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Suppose joint. W e know that we cannot simply add n(A u B) n(A) A B are not dis n (B) to obtain in A n B twice. 4 COUNTING ELEMENTS IN SETS I 33 Since we only want to count these elements once, we can correct for this duplication by subtracting n(A n B) once. Thus we obtain the formula n(A u B) = n(A) + n(B) - n(A n B). Example 36 (1) Let A = {a, b, c, d, e } B = { d, e, f, g, h, i } , and so that A U B = {a, b, c, d, e, f, g, h, i } and A n B = {d, e } . Since n(A) = 5, n(B) = 6, n(A u B) = 9, n(A n B ) = 2, we have n(A u B) = n(A) + n(B) - n(A n B) , smce 9 =5+6 Example 37 Philadelphia has two Bulletin .
Let U = the set of all real numbers A = { x I x is a solution of x2 = 1 } B = l - 1 , 2). Find (a) A' (b) B' (c) (A U B) ' (d) ( A n B) '. 5 . Let A = I x J x is an integer satisfying x > 0 } . Specify a universal set and compute A'. 6. S. senators. Specify a universal set and compute D'. 3 COMPLEMENTATION AND CARTESIAN PRODUCT OF SETS / 29 7. Let C be the set of all consonants in the English alphabet. Specify a universal set and compute C'. 8. 17. Shade the following sets. (a) A n B' n C (b) A n B nC' (c) A ' n B n C' (d) A'n B' n C.
16. A survey of 125 people revealed the following information : 27 regularly smoked cigars, 42 regularly smoked cigarettes, 24 regularly smoked a pipe, 9 regularly smoked a pipe and cigars 8 regularly smoked cigars and cigarettes 6 regularly smoked a pipe and cigarettes 2 regularly smoked all three. (a) How many nonsmokers were surveyed? (b) How many of those surveyed regularly smoked only cigarettes? 17. A telephone company routes overseas calls in the following manner. The incoming call is routed to one of 200 transmitting stations.
Applied finite mathematics by Howard Anton; Bernard Kolman
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