## Wednesday, September 12, 2012

### Permutations and Combinations Lesson 7

Review:

Have students work on:

1) If you are arranging 3 different Math texbooks, 4 different Science textbooks, and 5 different English textbooks, how many different ways can you organize them if:
a) the books of the same subject must be together?
b) The shelf must start and end with an English book?
c) How many different ways can you pick 2 books from each subject?

2) Explain why 5C2=5C3?

3) Solve: n+1Cn-1=15

4) How much different monetary amounts can you make from 1 penny, 1 dime, 1 quarter, and 1 dollar?

4) Explain everything you know about the expansion of (x+y)^n.

Body:

1) If you know one row of the Pascal's Triangle is
 1 8 28 56 70 56 28 8 1
Determine  the next row.

2) Determine the last term of the expansion (x-2y)^8.

3) Determine the third term of (a/b-2)^9

4) One term in the expansion of (x+a)^8 is 448x^6, determine the value of a.

5) Determine the constant term in the expansion of  (2x-1/x^2)^15

#### 1 comment:

1. Great post on journaling, Carrie. I have only tried this after completing my book, usually for character blog posts. Most times my books evolve from an idea or story question, and the characters evolve from that...except with Renner. He was Trey's partner in Journey's End, and I knew as soon as he hit the page that he'd star in his own book.
Thanks for sharing your method, Carrie. I shall try this. :-)
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