Illinois State University Mathematics Department

 MAT 409: Topics in Algebra and Combinatorics for K-8 Teachers

Twelve light bulbs
(4 identical red bulbs, 3 identical white bulbs, and 5 identical blue bulbs)
are to be installed in 18 sockets in a line,
resulting in 6 empty sockets.

How many arrangements are there for this install?

## Session 5: 13 February 2018

Basic Counting Strategies
Solving Equations Restricted to Non-Negative Integer Solutions (4.2)

Finding Fibonacci's Sequence Within Pascal's Triangle (4.1)
Test #1 and Solutions

Assignment #5

• Chapter 3 Section 3 (pp 63-70)
• Chapter 3 Section 4 (pp 78-93)
• Chapter 4 Section 1 (pp 105-116)
• Chapter 4 Section 2 (pp 116-128)

Problems

• Chapter 2 Review (p. 35-36): 3
• Chapter 3 Section 3 (p. 76): 30
• Chapter 3 Section 4 (pp. 94-98): 1,3,4,7,8,9,11,13,15,17,19,23,25,29,33,35,37,38
• Chapter 3 Learning From Others (pp 99-103)

Early Send-Ins

• By 9:18 pm Sunday 2/18/18, email to me (day@ilstu.edu; write MAT 409 Assignment #5 as subject line) your responses to:
• Chapter 2 Review: #3
• Chapter 3 Section 3: #30
• Chapter 3 Section 4: #29, #35
• Chapter 3 Learning From Others: Respond to the one and only prompt on p 99.

Fundamental Components of a Problem-Solving Approach to Combinatorics Problems