MTH 221 - Discrete Math for Information Technology

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 Chapter 4: 4.1-4 A wheel of fortune has the integers from 1 to 25 randomly placed on it.  Show that regardless of how the numbers are positioned on the wheel, there are three adjacent numbers whose sum is at least 39. 4.3-4 If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c? Chapter 5: 5.1-8 Logic chips are taken from a container, tested individually, and labeled defective or good.  The testing process is continued until either two defective chips are found or five chips are tested in total. Using a tree diagram, exhibit a sample space for this process. 5.7-6 (See the definition 5.23 on page 290 for help with this problem.) Let f,g:  Z+→R be defined as follows: Verify that f ∉ O(g) and g∉O(f)

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UT Austin
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