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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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