The ____ of $A$ and $B$ consists of all elements in either $A$ or $B$ or both.

Check back soon!

If $A$ is a set, the complement of $A$ is the set of all the elements in the universal set that are not in $A$.

Check back soon!

If each element of a set $A$ is also an element of a set $B,$ we say that $A$ is a ___

of $B$ and write $A$ ___$B$.

Check back soon!

If the number of elements in a set is a non negative integer, we say that the set is ____.

Check back soon!

If $A$ and $B$ are finite sets, the Counting Formula states that $n(A \cup B)=$ ____

Check back soon!

If a task consists of a sequence of three choices in which there are $p$ selections for the first choice, $q$ selections for the second choice, and $r$ selections for the third choice, the task of making these selections can be done in $p \cdot q \cdot r$ different ways.

Check back soon!

\begin{aligned}

&\text { If } n(A)=15, n(B)=20, \text { and } n(A \cap B)=10\\

&\text { find } n(A \cup B)

\end{aligned}.

Check back soon!

\begin{aligned}

&\text { If } n(A)=30, n(B)=40, \text { and } n(A \cup B)=45\\

&\text { find } n(A \cap B)

\end{aligned}

Check back soon!

\begin{aligned}

&\text { If } n(A \cup B)=50, n(A \cap B)=10, \text { and } n(B)=20, \text { find }\\

&n(A)

\end{aligned}

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in set $A$ ?

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in set $B ?$

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in $A$ or $B ?$

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in $A$ and $B ?$

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in $A$ but not $C$ ?$

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are not in $A$ ?

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in $A$ and $B$ and $C ?$

Check back soon!

Use the information given in the figure.

(FIGURE CANNOT COPY)

How many are in $A$ or $B$ or $C ?$

Check back soon!

A man has 5 shirts and 3 ties. How many different shirt and tie arrangements can he wear?

Check back soon!

$A$ woman has 5 blouses and 8 skirts. How many different outfits can she wear?

Check back soon!

How many four-digit numbers can be formed using the digits $0,1,2,3,4,5,6,7,8,$ and 9 if the first digit cannot be $0 ?$ Repeated digits are allowed.

Check back soon!

How many five-digit numbers can be formed using the digits $0,1,2,3,4,5,6,7,8,$ and 9 if the first digit cannot be 0 or 17 Repeated digits are allowed.

Check back soon!

In a consumer survey of 500 people, 200 indicated that they would be buying a major appliance within the next month, 150 indicated that they would buy a car, and 25 said that they would purchase both a major appliance and a car. How many will purchase neither? How many will purchase only a car?

Check back soon!

In a student survey, 200 indicated that they would attend Summer Session I and 150 indicated Summer Session II. If 75 students plan to attend both summer sessions and 275 indicated that they would attend neither session, how many students participated in the survey?

Check back soon!

In a survey of 100 investors in the stock market,

50 owned shares in IBM

40 owned shares in AT\&T

45 owned shares in GE

20 owned shares in both IBM and GE

15 owned shares in both AT\&T and GE

20 owned shares in both IBM and AT \& T

5 owned shares in all three

(a) How many of the investors surveyed did not have shares in any of the three companies?

(b) How many owned just IBM shares?

(c) How many owned just GE shares?

(d) How many owned neither IBM nor GE?

(e) How many owned cither IBM or AT\&T but no GE?

Check back soon!

Human blood is classified as either $\mathrm{Rh}+$ or $\mathrm{Rh}-.$ Blood is also classified by type: $\mathrm{A},$ if it contains an A antigen but not a $B$ antigen; $B$, if it contains a $B$ antigen but not an A antigen; AB, if it contains both A and B antigens; and $\mathrm{O}$, if it contains neither antigen. Draw a Venn diagram illustrating the various blood types. Based on this classification, how many different kinds of blood are there?

Check back soon!

The following data represent the marital status of males 18 years old and older in 2007 .

(a) Determine the number of males 18 years old and older who are widowed or divorced.

(b) Determine the number of males 18 years old and older who are married, widowed, or divorced.

(FIGURE CANNOT COPY)

Check back soon!

Demographics The following data represent the marital status of females 18 years old and older in 2007 .

(a) Determine the number of females 18 years old and older who are widowed or divorced.

(b) Determine the number of females 18 years old and older who are married, widowed, or divorced.

(FIGURE CANNOT COPY)

Check back soon!

As a financial planner, you are asked to select one stock each from the following groups: 8 DOW stocks, 15 NASDAQ stocks, and 4 global stocks. How many different portfolios are possible?

Check back soon!

Make up a problem different from any found in the text that requires the addition principle of counting to solve. Give it friend to solve and critique,

Check back soon!

Investigate the notion of counting as it relates to infinite sets. Write an essay on your findings.

Check back soon!