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11/11/21, 1:07 AM Quiz: Section 8.4

https://unlv.instructure.com/courses/102986/quizzes/367191/take 1/6

Section 8.4
Started: Nov 11 at 1:06am

Quiz Instructions

3 ptsQuestion 1

A museum has 8 paintings by Picasso and wants to arrange 3 of them on the
same wall. How many different ways can the paintings be arranged on the wall?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 2

We have 5 books to be arranged on a bookshelf. In how many different ways can
all of these books be arranged on a bookshelf?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 3

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11/11/21, 1:07 AM Quiz: Section 8.4

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989

1,320

Correct answer is not listed

4,896

5,210

3,900

2,765

816

Gia would like to place three tattoos on her body. She would like to have a tattoo on
her right forearm, one right above her knee, and one on her back right below her
neck.

She walks into a tattoo parlor and asks the tattoo artist to show her any tattoo
patterns that have angel, cupid, or skull in them. The tattoo artist shows her a
collection of 18 such patterns. In how many different ways can Gia tattoo her body
with three of these patterns, given that the position of the tattoo on her body matters?

3 ptsQuestion 4

10,626

Gia would like to place three tattoos on her body. She would like to have a tattoo on
her right forearm, one right above her knee, and one on her back right below her
neck.

She walks into a tattoo parlor and asks the tattoo artist to show her any tattoo
patterns that have angel, cupid, or skull in them. The tattoo artist shows her a
collection of 23 such patterns. In how many different ways can Gia tattoo her
body with three of these patterns, given that the position of the tattoo on her body
matters?

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Correct answer is not listed

14,080

5,600

1,717

9,810

12,039

6,579

3 ptsQuestion 5

How many 4-letter codes can be formed using these 4 letters such that repeated
letters are allowed?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 6

A combination lock has 4 settings, where any digit from 0 to 9 can be selected
for each setting, and any digit may be repeated. How many different numeric
combination codes can be set on this lock?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

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3 ptsQuestion 7

There are 19 top cheese-makers competing for the first, second, and third prize in
the World Cheese Awards’ competition in Italy. How many different ways can three
cheese-makers win the top three prizes?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 8

There are 10 people standing on a moving bus. At the next stop, 7 of the people
who are sitting down get up and leave. Keeping in mind that the vacant seats are in
different parts of the bus, in how many ways may 7 of those who are standing find a
seat?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 9
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11/11/21, 1:07 AM Quiz: Section 8.4

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A college plans to interview 13 students for possible offer of graduate
assistantships. The college has 7 assistantships of different value available. How
many ways can the assistantships be awarded?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 10

There are 24 horses competing for the top three prizes. In how many different ways
can the three prizes be claimed?

Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 11

The people living in one neighborhood have created a local “Outdoors Committee,”
which will plan, arrange, and pay for weekend or holiday trips of the residents into the
wilderness. All 161 adults living in this neighborhood have joined the committee.
The committee needs to elect three of thee individuals to serve as the president,
vice president, and treasurer.

In how many different ways can three people be selected to serve in these different
positions?

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Note: Your calculations may yield a large number. Enter your answer in the box
below without using comma in the number. The program will insert comma in the
number where needed when you submit your answer.

3 ptsQuestion 12

A community college offers 3 sociology, 4 economics, 5 psychology, 4
history, 5 mathematics, and 5 English courses that count toward the
undergraduate core humanities requirements. In completing the requirements, how
many different ways can a student take 1 sociology, 1 economics, 1
psychology, 1 history, 1 mathematics, and 1 English courses? (Your
calculations may yield a very large number. Enter your answer in the box below,
without using comma in the number. The program will insert comma in the number
where needed when you submit your answer).

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11/11/21, 1:07 AM Quiz: Section 8.5

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Section 8.5
Started: Nov 11 at 1:07am

Quiz Instructions

3 ptsQuestion 1

A team of 9 players is to be selected from 26 eligible players. How many
different teams can be formed?

3 ptsQuestion 2

A committee including 4 women and 4 men is to be formed from a pool of 9
women and 8 men. How many committees may be formed?

3 ptsQuestion 3

495

380

178

The U.S. Olympic Rowing coach has been given a list of individuals to form the
USA Men’s Eight Rowing team, which should have members. How many different
teams of may be selected from the list of individuals?

12

8

8

11/11/21, 1:07 AM Quiz: Section 8.5

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The correct answer is not listed

506

290

603

312

3 ptsQuestion 4

A local school board of 18 people needs to form a committee of 6 people. How
many different ways can this committee be formed?

3 ptsQuestion 5

In a meeting of county officials, 17 people exchange greetings. How many
greetings are exchanged, if everyone greets each other once? (Hint: each greeting
involves two people).

3 ptsQuestion 6

In a game, 6 bingo balls are being picked randomly from a pool of 29 bingo
numbers. Assuming that the order of the numbers that are picked does not matter,
how many possible ways are there for picking the numbers.

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3 ptsQuestion 7

Correct answer is not listed

1900

2600

4100

890

2980

3003

4100

The U.S. Olympic Rowing coach has been given a list of individuals to form the
USA Men’s Eight Rowing team, which should have members. How many different
teams of may be selected from the list of individuals?

14

8

8

3 ptsQuestion 8

In how many ways can a committee of 5 members be formed from a group of 13
individuals?

4 ptsQuestion 9

11/11/21, 1:07 AM Quiz: Section 8.5

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A flower shop is about to close for the day when a customer walks in a hurry and
asks for a bouquet of several roses. The shop owner has 10 yellow roses and 13
red roses left after a busy day, and randomly selects several roses to make the
bouquet for the customer that appears to be in a rush. What is the probability that the
customer ends up with a bouquet of 5 yellow and 4 red roses?

Note: If your answer has up to four decimal places, please enter it in the box below
without rounding the number. However, if your answer has more than four decimal
places, please round your answer to four decimal places.

4 ptsQuestion 10

A middle school is putting together a group of 12 children to represent the school
at various sports competitions with other schools. 25 sports-loving students, of
whom 9 are girls and the rest are boys, have volunteered to be in the group. If the
selections are made at random, what is the probability of selecting 12 children from
the 25 volunteers such that 6 are girls and the rest are boys?

Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.

4 ptsQuestion 11

A stack of 12 red cards and 10 green cards is shuffled and placed on a table.
The cards are distinguished from each other by a number that has been written on
each one. What is the probability of randomly selecting 3 red and 3 green cards
from this stack.

11/11/21, 1:07 AM Quiz: Section 8.5

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Note: If your answer has up to four decimal places, please enter it below without
rounding the number. But if your answer has more than four decimal places, round
the number to four decimal places.

4 ptsQuestion 12

A semi-truck for a recreational cycling group carries 9 mountain bikes and 10
ten-speed bikes. A group of member cyclists go on a weekend recreational cycling
trip, and each receives a random pick of the bicycles from the truck. What is the
probability that 4 mountain bikes and 7 ten-speed bikes were distributed to the
cyclists?

Note: If your answer has up to four decimal places, please enter it in the box below
without rounding the number. However, if your answer has more than four decimal
places, please round your answer to four decimal places.

4 ptsQuestion 13

A math teacher chooses 3 students at random from a class of 16 to solve a
problem at the board. If 9 students in the entire class know how to solve the
problem, what is the probability that of the 3 students who were picked, only 2
know(s) how to solve the problem?

Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.

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