Assigned Monday 6/25:

Read sections 5.4, 5.5, and 5.6.

Complete the following problems:

5.1: 18

5.2: 42

5.3: 42

5.4: 3, 4, 7, 18, 40

5.5: 4, 7, 19, 24, 33

Essay question due 7/2:

(A) How many ways are there to seat n people around a round table? It may help to compute some examples with n equal to 3, 4 or 5.

(B) You are making a bracelet for a friend by glueing together long curved beads into a circle. (An example with six beads is at the left.)

You'll use four beads each of which is a different color. How many different color patterns could the bracelet have?

(C) Explain the difference between the two questions above.

(D) Challenge question:^* How many color patterns could a bracelet with n distinct beads have?

^*This question is optional - it will not figure into the score for this assignment.

Assigned Wednesday 6/27:

Read sections 5.7, 6.1, 6.2.

Complete the following problems:

5.4: 54

5.5: 28, 29, 30, 44, 47, 48, 61

5.6: 1, 2, 4

5.7: 27, 30

Assigned Friday 6/29:

Read sections 6.3, 6.4.

Complete the following problems:

5.6: 9, 10, 11, 13, 28

5.7: 32, 35

If you are interested in fractals don't miss the connection between the Serpinski Gasket and Pascal's triangle on p. 252.

6.2: 2, 6

Note: Please turn essay questions in on seperate paper from problem sets.