Question
In: Advanced Math
You recently acquired books on three different subjects in the following quantities: 6 history books, 5...
You recently acquired books on three different subjects in the following quantities: 6 history books, 5 music books, and 4 photography books.
(a) In how many ways can you arrange the books on a shelf?
(b) In how many ways can you arrange the books on a shelf so they
can be grouped by subject?
(c) In how many ways can they choose 6 books with 2 books per
subject?
(d) In how many ways can they choose 6 books with at least 4
history books?
Solve the discrete mathematics problem above using permutations/combinations. Show all work.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
A bookshelf has space for 6 books. There are 6 different English books and 5 different...
A bookshelf has space for 6 books. There are 6 different English
books and 5 different French books available. If we wish to put 3
English books and 3 French books on the shelf, how many
arrangements can be made keeping all books of the same language
together?
There are 18 books on a shelf: 6 mathematics, 4 physics, 5 history, and 3 biology....
There are 18 books on a shelf: 6 mathematics, 4 physics, 5
history, and 3 biology. If Emil picks six books at random, what is
the probability that he picks 3 mathematics, 2 physics
and one other book?
Diversified Products, Inc., has recently acquired a small publishing company that offers three books for sale—a...
Diversified Products, Inc., has recently acquired a small
publishing company that offers three books for sale—a cookbook, a
travel guide, and a handy speller. Each book sells for $10. The
publishing company’s most recent monthly income statement is shown
below.
Product Line
Total Company
Cookbook
Travel Guide
Handy Speller
Sales
$
300,000
$
90,000
$
150,000
$
60,000
Expenses:
Printing costs
102,000
27,000
63,000
12,000
Advertising
36,000
13,500
19,500
3,000
General sales
18,000
5,400
9,000
3,600
Salaries
33,000
18,000
9,000...
Diversified Products, Inc., has recently acquired a small publishing company that offers three books for sale—a...
Diversified Products, Inc., has recently acquired a small
publishing company that offers three books for sale—a cookbook, a
travel guide, and a handy speller. Each book sells for $11. The
publishing company’s most recent monthly income statement is shown
below.
Product line
Total
Company
Cookbook
Travel
Guide
Handy
Speller
Sales
$
350,000
$
121,000
$
166,000
$
63,000
Expenses:
Printing costs
117,000
42,000
64,500
10,500
Advertising
37,000
19,000
17,000
1,000
General sales
21,000
7,260
9,960
3,780
Salaries
32,000
17,000
10,500...
Diversified Products, Inc., has recently acquired a small publishing company that offers three books for sale—a...
Diversified Products, Inc., has recently acquired a small
publishing company that offers three books for sale—a cookbook, a
travel guide, and a handy speller. Each book sells for $12. The
publishing company’s most recent monthly income statement is given
below:
Product Line
Total
Company
Cookbook
Travel
Guide
Handy
Speller
Sales
$
355,000
$
125,000
$
168,000
$
62,000
Expenses:
Printing costs
118,000
43,000
66,000
9,000
Advertising
38,000
19,100
17,500
1,400
General sales
21,300
7,500
10,080
3,720
Salaries
33,000
18,000
10,600...
Diversified Products, Inc., has recently acquired a small publishing company that offers three books for sale—a...
Diversified Products, Inc., has recently acquired a small
publishing company that offers three books for sale—a cookbook, a
travel guide, and a handy speller. Each book sells for $13. The
publishing company’s most recent monthly income statement is shown
below.
Product line
Total
Company
Cookbook
Travel
Guide
Handy
Speller
Sales
$
315,000
$
96,000
$
156,000
$
63,000
Expenses:
Printing costs
105,000
30,000
63,300
11,700
Advertising
39,000
13,800
21,000
4,200
General sales
18,900
5,760
9,360
3,780
Salaries
36,000
21,000
9,300...
Suppose there are 8 different books on Calculus, 4 different books on Discrete Mathematics, 5 different...
Suppose there are 8 different books on Calculus, 4 different
books on Discrete Mathematics, 5 different books on Programming,
and 2 different books on Algorithms. Determine the number of ways 3
different books can be selected from 3 different categories.
A student has 5 math books, 2 history books, and 4 biology books. She puts all...
A student has 5 math books, 2 history books, and 4 biology
books. She puts all the books on the shelf in a random order. What
is the probability that:
(a) The math books are together?
(b) The books are arranged by subject? (i.e., all books on the
same subject are together).
Aggregation 1. List the following about history books: number of history books, the minimum price, maximum...
Aggregation
1. List the following about history books: number of history
books, the minimum price, maximum price, and average sales. The
format of output is: "Number" "Min Price" "Max Price" "Average
Sale"
2. List the number of books and the average number of pages
published by pub_id 01.
3. For each book type, list the the number of books and the
average price. Sort the results by the number of books
Functions
4. List the name(s) of the publisher(s) that...
Consider the quantities supplied of fanny packs at two different prices for three different time horizons:...
Consider the quantities supplied of fanny packs at two different
prices for three different time horizons:
Time
P0 (Initial Price)
P1 (New Price)
Q0 (Initial Price)
Q1 (New Quantity)
Time A
10
12
50
70
Time B
10
12
50
55
Time C
10
12
50
40
(a) (i) Calculate the price elasticity of supply of
fanny packs for Time A.
(ii) Is the supply of fanny packs at
Time A perfectly inelastic, inelastic, unit
elastic, elastic, or perfectly
elastic?...
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