M 362K, Spring 03, Smith

## Assignment for Wednesday, September 10

• Vocabulary to learn: Permutation.
• Note carefully the reasoning involved in the solutions of the examples.
2. Try #2, 4, 9 on pp. 15 - 16
• In #2, what would the answer be if the die had n sides instead of 6?
• In #9, assume that you can't distinguish between two blocks of the same color.
• Write out your reasoning for each problem.
• You can check your final answers in the back of the book.
3. Read Example 5b (p. 36), first solution only.

4. Try #16a, f, g on p. 55. Be sure to write our your reasoning.

• Vocabulary to learn: Combination.
• Notation to learn: the notation for the number of combinations of n things taken r at a time. (p. 6)
• Be sure to think about the difference between a permution and a combination, and where you use each.
• Try to prove the identity at the top of p. 8 analytically -- i.e., by using  formulas.
6. Try #13, 14, 15 on p. 16.
• In #13, what would the answer be if there were n people? Try to do this problem two ways: Once using either permutions or combinations (Which one of these applies here? Why?), and once another way.
• Write out youre reasoning for each problem.
• You can check your answer to #13 and 14 in the back of the book.
7. Read the second solution of Example 5b on p. 36.

8. Read Example 5c onp. 36.

9. Try #15a, 18 on p. 55