Solution Found!

Math / Contemporary Abstract Algebra 8 / Chapter 5 / Problem 70E

Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian

Change Question

(Indiana College Mathematics Competition) A card-shuffling

Chapter 5, Problem 70E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

(Indiana College Mathematics Competition) A card-shuffling machine always rearranges cards in the same way relative to the order in which they were given to it. All of the hearts arranged in order from ace to king were put into the machine, and then the shuffled cards were put into the machine again to be shuffled. If the cards emerged in the order 10, 9, Q, 8, K, 3, 4, A, 5, J, 6, 2, 7, in what order were the cards after the first shuffle?

Questions & Answers

QUESTION:

(Indiana College Mathematics Competition) A card-shuffling machine always rearranges cards in the same way relative to the order in which they were given to it. All of the hearts arranged in order from ace to king were put into the machine, and then the shuffled cards were put into the machine again to be shuffled. If the cards emerged in the order 10, 9, Q, 8, K, 3, 4, A, 5, J, 6, 2, 7, in what order were the cards after the first shuffle?

ANSWER:

Step 1 of 2

Let denote the permutation of positions induced by a shuffling.

We denote the ace to king as 1 through 13. Then,

In cycle notation, it can be written as

Therefore,

Study Tools You Might Need

Chapter: 7 Problem: 35P

Introductory Chemistry 5
Write a balanced chemical equation for each chemical reaction. (a) Solid lead(II) sulfide reacts with aqueous hydrochloric acid to form solid lead(II) chloride and dihydrogen sulfide gas. (b) Gaseous carbon monoxide reacts with hydrogen gas to form gaseous methane (\(\mathrm{CH}_{4}\)) and l

Chapter: 4 Problem: 4.1-8

Probability and Statistical Inference 9
In a smoking survey among boys between the ages of 12 and 17, \(78 \%\) prefer to date nonsmokers, \(1 \%\) prefer to date smokers, and \(21 \%\) dont care. Suppose seven such boys are selected randomly. Let \(X\) equal the number who prefer to date nonsmokers and \(Y\) equal the number who prefer to

Chapter: Problem: 26

Mathematical Statistics and Data Analysis 3
Hampson and Walker also made measurements of the heats of sublimation of rhodium and iridium. Do the following calculations for each of the two given sets of data: a. Make a histogram. b. Make a stem-and-leaf plot. c. Make a boxplot. d. Plot the observations in the order of the experi

Chapter: 10 Problem: 5

Anatomy & Physiology 1
Which element is important in directly triggering contraction? a. sodium (Na+ ) b. calcium (Ca++) c. potassium (K+ ) d. chloride (Cl)

Chapter: 18 Problem: 18-4

Glencoe Accounting: First Year Course, Student Edition 1
Analyzing a Source Document Answer these questions, based on the debit memorandum shown here. 1. Which company is returning the merchandise? 2. How many items are being returned? 3. What amount is entered in the journal entry? 4. Which account is debited? 5. Which account is credited?

Chapter: 0 Problem: 1

Krugman's Economics for AP® (High School) 2
In each of the following cases, state whether the income effect, the substitution effect, or both are significant. In which cases do they move in the same direction? In opposite directions? Why? a. Orange juice represents a small share of Clares spending. She buys more lemonade and less orange juice

Chapter: 3 Problem: 11

Principles of Macroeconomics 6
Bill and Hillary produce food and clothing. In an hour, Bill can produce 1 unit of food or 1 unit of clothing, while Hillary can produce 2 units of food or 3 units of clothing. They each work 10hours a day. a. Who has an absolute advantage in producing food? Who has an absolute advantage in producing

Chapter: 33 Problem: 10

Principles of Economics 9
A sudden increase in business pessimism shifts the aggregate-_________ curve, leading to _________ output. a. supply; lower b. supply; higher c. demand; lower d. demand; higher

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account