MTH 221 – Discrete Math for Information Technology
| 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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