Chapter 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.
If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c?
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. 
(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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