Find how many outcomes are possible for the decision algorithms. $\begin{array}{lc} \text { Alternative 1 } & \text { Alternative 2 } \\ \text { Step 1: four outcomes } & \text { Step 1: three outcomes } \\ \text { Step 2: four outcomes } & \text { Step 2: five outcomes } \\ & \text { Step 3: three outcomes } \end{array}$

The answer of Find how many outcomes are possible for...

Let $\begin{aligned} C & = \{ \text { small, medium, large } \} \\ D & = \{ \text { oblong square } \} \end{aligned}$ Represent the elements of $C \times D$ as cells in a spreadsheet.

A) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$ B) $\left\{ \begin{array} { c c } \text { (large, square) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (small, oblong) } \end{array} \right\}$ C) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, square) } & \text { (large, oblong) } \end{array} \right\}$ D) $\left\{ \begin{array} { c c } \text { (small, square) } & \text { (small, oblong) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$ E) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, square) } & \text { (medium, oblong) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$ A) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$ B) $\left\{ \begin{array} { c c } \text { (large, square) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (small, oblong) } \end{array} \right\}$ C) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, square) } & \text { (large, oblong) } \end{array} \right\}$ D) $\left\{ \begin{array} { c c } \text { (small, square) } & \text { (small, oblong) } \\ \text { (medium, oblong) } & \text { (medium, square) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$ E) $\left\{ \begin{array} { c c } \text { (small, oblong) } & \text { (small, square) } \\ \text { (medium, square) } & \text { (medium, oblong) } \\ \text { (large, oblong) } & \text { (large, square) } \end{array} \right\}$

Find how many outcomes are possible for the decision algorithms. $\begin{array}{ll} {\text { Step } 1} & \text { Step } 2 \\ \text { Alternative 1:1 outcome } & \text { Alternative } 1: 2 \text { outcomes } \\ \text { Alternative } 2: 1 \text { outcome } & \text { Alternative } 2: 2 \text { outcomes } \\ \text { Alternative } 3: 1 \text { outcome } & \end{array}$ __________ outcomes

The answer of Find how many outcomes are possible for...

Exam 7: Sets and Counting

Find how many outcomes are possible for the decision algorithms. Alternative 1 Alternative 2 Step 1: four outcomes Step 1: three outcomes Step 2: four outcomes Step 2: five outcomes Step 3: three outcomes

(Short Answer)

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Question 21

List the elements in the set A, such that ? $A = \{ n \mid n \text { is a positive integer and } 0 < n < 7 \}$ . ? Please separate your answers with comma(s). ? $n =$ { ___________ }

(Short Answer)

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Question 22

Your favorite restaurant offers a total of 16 desserts, of which 9 have ice cream as a main ingredient, and 10 have fruit as a main ingredient. Assuming that all of them have either ice cream or fruit or both as a main ingredient, how many have both ? __________ desserts have both.

(Short Answer)

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Question 23

Let C =\{ small, medium, large \} D =\{ oblong square \} Represent the elements of $C \times D$ as cells in a spreadsheet.

(Multiple Choice)

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Question 24

Some written languages, such as Chinese and Japanese, use tens of thousands of different characters. If a language uses 16,384 characters, a computer code for this language would have to use how many bits (1 or 0) per character

(Short Answer)

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Question 25

Dripping wet after your shower, you have clean forgotten the combination of your lock. It is one of those "standard" combination locks, which uses a three number combination with each number in the range 0 through 39. All you remember is that the second number is either 25 or 35, while the third number ends with a 4. In desperation, you decide to go through all possible combinations using the information you remember. Assuming that it takes about 10 seconds to try each combination, what is the longest possible time you may have to stand dripping in front of your locker Assume that 4 does not end with a 4 .

(Multiple Choice)

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Question 26

The World Almanac features a "perpetual calendar", a collection of 14 possible calendars. Why does this suffice to be sure there is a calendar for every conceivable year

(Essay)

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Question 27

A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of two of a kind (two of one denomination and three of different denominations). __________ hands

(Short Answer)

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Question 28

Dripping wet after your shower, you have clean forgotten the combination of your lock. It is one of those "standard" combination locks, which uses a three-number combination with each number in the range 0 through 39. All you remember is that the second number is either 27 or 37, while the third number ends in a 4. In desperation, you decide to go through all possible combinations using the information you remember. Assuming that it takes about 10 seconds to try each combination, what is the longest possible time you may have to stand dripping in front of your locker ? Assume that 4 does not end with a 4 . __________ minutes

(Short Answer)

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Question 29

An experiment requires a sequence of three steps. The first step can result in 5 possible outcomes, the second in 2 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

(Short Answer)

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Question 30

Professor Oger must choose between an extra writing assignment and an extra reading assignment for the upcoming spring break. For the writing assignment, there are 4 essay topics to choose from and three different mandatory lengths (30 pages, 35 pages, or 40 pages). The reading topic would consist of one scholarly biography combined with one volume of essays. There are 5 biographies and two volumes of essays to choose from. How many choices does she have ?

(Multiple Choice)

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Question 31

Use the given information to complete the solution of the partially solved Venn diagram. $n ( A ) = 25$ , $n ( B ) = 14$ , $n ( C ) = 25$ , and $n ( S ) = 54$ $n ( d ) =$ $n ( f ) =$ $n ( g ) =$ $n ( h ) =$

(Short Answer)

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Question 32

You are searching online for Hip-hop music that is neither American nor Canadian. In set notation, which set of music files are you searching for

(Multiple Choice)

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Question 33

A surgical procedure requires four steps. The first step can result in 6 possible outcomes, the second in 4 possible outcomes, and the remaining two can each result in 3 possible outcomes. What is the total number of outcomes possible

(Short Answer)

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Question 34

While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in 3 sizes, and packets of licorice nibs come in 3 sizes. If he chooses gummy candy, he must select gummy kangaroos, gummy lions, gummy bears, gummy worms or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have ?

(Multiple Choice)

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Question 35

Let A be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number. List the elements of E'. $E ^ { \prime } =$ __________

(Essay)

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Question 36

If $A = \{ \text { Dirk, Johan, Henrika, Sarie } \}$ and $C = \{ \text { Hans, Henrika } \}$ , Then $n ( A \cup C ) = n ( A ) + n ( C ) - n ( A \cap C )$ .

(True/False)

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Question 37

Find how many outcomes are possible for the decision algorithms. Step 1 Step 2 Alternative 1:1 outcome Alternative 1:2 outcomes Alternative 2:1 outcome Alternative 2:2 outcomes Alternative 3:1 outcome __________ outcomes

(Short Answer)

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Question 38

A surgical procedure requires choosing among three alternative methodologies. The first methodology can result in 5 possible outcomes, the second in 4 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

(Short Answer)

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Question 39

While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in 4 sizes, and packets of licorice nibs come in 2 sizes. If he chooses gummy candy, he must select gummy lions, gummy bears, gummy worms or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have

(Short Answer)

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Question 40

Find how many outcomes are possible for the decision algorithms. Alternative 1 Alternative 2 Step 1: four outcomes Step 1: three outcomes Step 2: four outcomes Step 2: five outcomes Step 3: three outcomes

List the elements in the set A, such that ? $A = \{ n \mid n \text { is a positive integer and } 0 < n < 7 \}$ . ? Please separate your answers with comma(s). ? $n =$ { ___________ }

Your favorite restaurant offers a total of 16 desserts, of which 9 have ice cream as a main ingredient, and 10 have fruit as a main ingredient. Assuming that all of them have either ice cream or fruit or both as a main ingredient, how many have both ? __________ desserts have both.

Let C =\{ small, medium, large \} D =\{ oblong square \} Represent the elements of $C \times D$ as cells in a spreadsheet.

Some written languages, such as Chinese and Japanese, use tens of thousands of different characters. If a language uses 16,384 characters, a computer code for this language would have to use how many bits (1 or 0) per character

The World Almanac features a "perpetual calendar", a collection of 14 possible calendars. Why does this suffice to be sure there is a calendar for every conceivable year

A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of two of a kind (two of one denomination and three of different denominations). __________ hands

An experiment requires a sequence of three steps. The first step can result in 5 possible outcomes, the second in 2 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

Use the given information to complete the solution of the partially solved Venn diagram. $n ( A ) = 25$ , $n ( B ) = 14$ , $n ( C ) = 25$ , and $n ( S ) = 54$ $n ( d ) =$ $n ( f ) =$ $n ( g ) =$ $n ( h ) =$

You are searching online for Hip-hop music that is neither American nor Canadian. In set notation, which set of music files are you searching for

A surgical procedure requires four steps. The first step can result in 6 possible outcomes, the second in 4 possible outcomes, and the remaining two can each result in 3 possible outcomes. What is the total number of outcomes possible

Let A be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number. List the elements of E'. $E ^ { \prime } =$ __________

If $A = \{ \text { Dirk, Johan, Henrika, Sarie } \}$ and $C = \{ \text { Hans, Henrika } \}$ , Then $n ( A \cup C ) = n ( A ) + n ( C ) - n ( A \cap C )$ .

Find how many outcomes are possible for the decision algorithms. Step 1 Step 2 Alternative 1:1 outcome Alternative 1:2 outcomes Alternative 2:1 outcome Alternative 2:2 outcomes Alternative 3:1 outcome __________ outcomes

A surgical procedure requires choosing among three alternative methodologies. The first methodology can result in 5 possible outcomes, the second in 4 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

Functions and Applications

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 7: Sets and Counting

Find how many outcomes are possible for the decision algorithms. Alternative 1 Alternative 2 Step 1: four outcomes Step 1: three outcomes Step 2: four outcomes Step 2: five outcomes Step 3: three outcomes

List the elements in the set A, such that ? A={n∣n is a positive integer and 0<n<7}A = \{ n \mid n \text { is a positive integer and } 0 < n < 7 \}A={n∣n is a positive integer and 0<n<7} . ? Please separate your answers with comma(s). ? n=n =n= { ___________ }

Your favorite restaurant offers a total of 16 desserts, of which 9 have ice cream as a main ingredient, and 10 have fruit as a main ingredient. Assuming that all of them have either ice cream or fruit or both as a main ingredient, how many have both ? __________ desserts have both.

Let C =\{ small, medium, large \} D =\{ oblong square \} Represent the elements of C×DC \times DC×D as cells in a spreadsheet.

Some written languages, such as Chinese and Japanese, use tens of thousands of different characters. If a language uses 16,384 characters, a computer code for this language would have to use how many bits (1 or 0) per character

The World Almanac features a "perpetual calendar", a collection of 14 possible calendars. Why does this suffice to be sure there is a calendar for every conceivable year

A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of two of a kind (two of one denomination and three of different denominations). ​ __________ hands

An experiment requires a sequence of three steps. The first step can result in 5 possible outcomes, the second in 2 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

You are searching online for Hip-hop music that is neither American nor Canadian. In set notation, which set of music files are you searching for

A surgical procedure requires four steps. The first step can result in 6 possible outcomes, the second in 4 possible outcomes, and the remaining two can each result in 3 possible outcomes. What is the total number of outcomes possible

Let A be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number. ​ List the elements of E'. ​ E′=E ^ { \prime } =E′= __________

Find how many outcomes are possible for the decision algorithms. Step 1 Step 2 Alternative 1:1 outcome Alternative 1:2 outcomes Alternative 2:1 outcome Alternative 2:2 outcomes Alternative 3:1 outcome ​​ __________ outcomes

A surgical procedure requires choosing among three alternative methodologies. The first methodology can result in 5 possible outcomes, the second in 4 possible outcomes, and the third in 3 possible outcomes. What is the total number of outcomes possible

Functions and Applications

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

List the elements in the set A, such that ? $A = \{ n \mid n \text { is a positive integer and } 0 < n < 7 \}$ . ? Please separate your answers with comma(s). ? $n =$ { ___________ }

Let C =\{ small, medium, large \} D =\{ oblong square \} Represent the elements of $C \times D$ as cells in a spreadsheet.

A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of two of a kind (two of one denomination and three of different denominations). __________ hands

Let A be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number. List the elements of E'. $E ^ { \prime } =$ __________

Find how many outcomes are possible for the decision algorithms. Step 1 Step 2 Alternative 1:1 outcome Alternative 1:2 outcomes Alternative 2:1 outcome Alternative 2:2 outcomes Alternative 3:1 outcome __________ outcomes