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

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

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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 Loading [MathJax]/jax/output/HTML-CSS/jax.js

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

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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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