Monday:
- Study: 2.1, 2.2, 1.4 (for explanation of notation)
- Do: 1.(The Priciple of Inclusion and Exclusion) Suppose in some set, a elements have
property A and b elements have property B, anb elements have both properties. How many
elements are there that have at least one of the two properties?
- 2. (The Rule of Sum) Suppose in some set of aUb elements, anb elements have both property A
and property B, and b elements have property B. How many elements have only property a?
- 3. (The Product Principle) Suppose you have a possibilities for the first item on a list and b
possibilities for the second, and your choice for the first thing on the list doesnt affect
your second. How many different lists can you make? Suppose you have a possibilities for the
first item, b for the second, c for the third, and so on, and no choice affects any other. How
many different lists of length 10 can you make?
- 4. (Extension of the Product Principle) Suppose you have a set of size n. How many lists of length
k can you make without any item repeating? Of length n?
- 5. Label each part of the first 16 problems (of the handout) with which principle or rule should
be used in solving it.
- 6. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that
one of the easiest ways to remember something is to connect it to personal experience, either directly or
by analogy.)
7. What is a test question you think you might be asked about an important concept from today's lesson?
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Wednesday:
- Study: 2.3, 2.4
- Do:
- 1. Exercises 2.2 A, #1
- 2. Exercises 2.2 A, #4
- 3. Exercises 2.3 A, #1
- 4. Exercises 2.4 A, #7
- 5. Exercises 2.4 A, #10
- 6. Write up the proof of Theorem 2 in your own words.
- 7. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that
one of the easiest ways to remember something is to connect it to personal experience, either directly or
by analogy.)
- What is a test question you think you might be asked about an important concept from today's lesson?
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