Counting Principles

Option #1: Counting Principles #1

Write a paper that adheres to the Written Assignment Requirements in the CSU-Global Guide to Writing and APA Requirements. In addition, the items noted in the Good Writing Tips section should be observed.

Your paper should contain a title page, an introduction, a body, a conclusion, and possibly a list of references. The introduction should provide background information about your paper topic, and it should state what your paper will address. It often states the main idea or purpose of the paper in what is termed a thesis statement.

The body of your paper details your methodology, findings, and/or the results of analysis. APA requires that tables, figures, and calculations/formulas used in your paper appear in the paper body.

The conclusion is where we summarize our findings, state other conclusions, relay personal experiences, and sometimes discuss the “take-home” messages associated with our work. As with many written assignments, in-text citations and a reference page are often included.

Be sure to describe or define the Fundamental Counting Principle, combinations, and permutations in your paper introduction. Include detailed calculations and solutions in the body of your paper.

In your paper, answer the following three questions:

Question #1

Your library contains Seven Harry Potter books along with the three novels that make up Tolkien’s Lord of the Rings Trilogy. You would like to select three of the Harry Potter books and two of the Tolkien books to take on a long vacation.  Assuming you don’t care which of the Potter and Tolkien books you choose, how many options do you have?

Question #2

The login procedure for a web site requires that a five-digit password be entered. The password must be created using the digits 0 through 9, and none of the digits can be repeated. How many five-digit codes can be created?

Question #3

One type of lottery requires that the winner match the five numbers drawn by the lottery officials in the order that the numbers were selected. The numbers were selected one at a time from a group of 24 numbers. How many ways are there to select a set of five numbers?