Venn Diagrams, Sets and Combinations

Two page memo with diagram and table...# Combine algebraic sets to yield other sets, understand techniques for determining the number of elements in a set, and use permutations and combinations formulas to combine or arrange elements in a set.

After running various advertisements, you have received the statistics from each advertising outlet. A total of 800 ads were run. The following lists the breakdown of each:

    * 380 ads were run over the radio.
    * 240 adds were run in the newspaper.
    * 300 adds appeared on the Internet.
    * 185 ran both on radio and on the Internet.
    * 145 ran on the radio and newspaper.
    * 225 ran in the newspaper and on the Internet.
    * 145 ran on all 3 media outlets.

Write a memo to your boss that displays the data graphically in a Venn diagram. Also, describe example scenarios listed below by first constructing them in set notation (use the addition principle to show the union values) and then give the actual values. Then, construct a table to summarize the following data:

    * Ads that were run either on the radio or in the newspaper
    * Ads that were not run on the radio
    * Ads that were run on the radio and the Internet but not in the newspaper
    * Ads that were not run on any of the three media outlets
    * Ads that were not run on the radio but were run in the newspaper