Wetzel                                                                                                             

Math 122

Test #3

1.)  Given the sets

            U={a, b, c, d, e, f, g, h}    A={a, c, d, e, h}   B={c, f, h}    C={a, e, f, g}  find:

            Make sure you write your answers as a set!

            A.)  =

            B.)  =

            C.)  =

            D.)  ({ })=

2.)  For each of the following, write the word TRUE if the statement is true or write the word FALSE if the statement is false.

            A.)  ________ 

            B.)  ________  x is a multiple of 4 between 0 and 30}

            C.)  ________  The set {2, 4, 6,…16} has =16 subsets and -1 = 15 proper                                           subsets.

            D.)  ________  (20, 30, 40){5, 10, 15,…60}

            E.)  ________  {3, 2, 3, 1, 1, 3, 2, 3}={1, 2, 3}

 3.)  Several Charleston tourists were surveyed and asked which attractions they had visited on their stay.  The results are summarized in the following diagram:

Find the number of tourists who visited:

            A.)  Fort Sumter.  __________

            B.)  Belle Hall Plantation or Fort Sumter, but not Charlestown Landing.  _______

            C.)  Charlestown Landing or Belle Hall Plantation.  _________

            D.)  Charlestown Landing and Belle Hall Plantation but not Fort Sumter. _______

Answer the following.  Please circle your answers.

4.)   Forty people have shown up at the courthouse for jury duty.  If 12 people are randomly selected for a jury, how many possible juries could be formed?

5.)  On the first page of this test, there are 5 true or false questions.  If a student guessed the answer to each question, how many possible solution combinations are possible?

6.)  A committee consisting of a president, vice-president, secretary, and treasurer is being chosen from 13 people.  How many possible committees are there?

7.)  Determine how many different pizzas could be made if given the following choices, Size:  small, medium, large, or extra large,  Crust:  hand tossed, thin crust, stuffed crust, or deep crust, and any 2 of 15 possible toppings : (the 2 toppings must be different)

8.)  A disc jockey received 14 song requests, but he only has time to play 6 songs.  How many different ways or arrangements could he play 6 songs?