Mathematical Concepts 115 ch. 11

Chapter 11: 2/21/09 notes in class and from the text.

Discusses differant counting methods:

1. The tree diagram; page 674.
The tree diagram is a method of building numbers from a set of digits.
Foe example; A,B,C,
can be diagramed as many possible combinations availabe;
ABC, ACB, BAC, BCA, CAB, CBA,
The total number of combinations are 6.

2. The product Rule: with uniformity criterion, and the Fundamental counting principle;

ex.1. This is a multiple part task involving all parts to be the same with the same number of choices no matter what the previous choices were in the past. The formula is: n1,times n2,.....nk

another example is to have 5 choices for an I.D. card and what are all of the possibilities: = A,B,C,D, 1,2,3,
ADCC, 322 becomes the answer.

there are 4 possibilities: n1 is 4 n2 is 4 n3 is4 n4is 3 n5is 3. There are 4 possibilities, that is why n1-n3 is a 4. n-4-5 is a 3; because of the three possiblities. The product rule or the fundamental counting principle:
is n4 4.4.4.3.3 The answer is then given by the product.

That is all for now. I will continue later.

Marie Zajac with on a journey towards a bachelor's degree in psychology. I will do it.