Discrete Mathematics
5th Edition
ISBN: 9780134689562
Author: Dossey, John A.
Publisher: Pearson,
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Chapter 8.2, Problem 1E
To determine
To find: The number of people in which at least two of their birthdays fall in the same month.
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use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)= x*sqrt(9-(x^2))
Chapter 8 Solutions
Discrete Mathematics
Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
C(5, 3)
Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
C(12, 7)
Ch. 8.1 - Prob. 5ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 7ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 9ECh. 8.1 - Evaluate the numbers in Exercises 1-12.
the...
Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Evaluate the numbers in Exercises 1-12.
the...Ch. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.2 - How many people must there be in order to assure...Ch. 8.2 - If a committee varies its meeting days, how many...Ch. 8.2 - Prob. 3ECh. 8.2 - How many words must be chosen in order to assure...Ch. 8.2 - Prob. 5ECh. 8.2 - If there are 6 sections of Discrete Math with a...Ch. 8.2 - Prob. 7ECh. 8.2 - A sociologist intends to send a questionnaire to...Ch. 8.2 - Prob. 9ECh. 8.2 - How many different pizzas can be ordered if a...Ch. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - A restaurant offers a choice of 3 green vegetables...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - How many 8-bit strings begin with 010 or end with...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prove that in any nonempty list of n integers (not...Ch. 8.2 - Prob. 35ECh. 8.2 - Suppose that there are 15 identical copies of The...Ch. 8.3 - Evaluate the numbers in Exercises 1-12.
1. C(6,...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
4. C(8,...Ch. 8.3 - Evaluate the numbers in Exercises 1-12.
5. P(4,...Ch. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
8. P(12,...Ch. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Evaluate the numbers in Exercises 1-12.
12. P(n,...Ch. 8.3 - Prob. 13ECh. 8.3 - How many different arrangements are there of the...Ch. 8.3 - Prob. 15ECh. 8.3 - How many different ways are there of selecting...Ch. 8.3 - Prob. 17ECh. 8.3 - How many different 16-bit strings contain exactly...Ch. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.4 - How many distinct arrangements of the letters in...Ch. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - How many different assortments of 6 boxes of...Ch. 8.4 - Prob. 7ECh. 8.4 - How many different boxes containing 10 wedges of...Ch. 8.4 - Prob. 9ECh. 8.4 - In how many different ways can 15 distinct books...Ch. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - In how many different ways can 6 identical sticks...Ch. 8.4 - A father has 10 identical life insurance policies....Ch. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - In how many different ways can 8 identical...Ch. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 26ECh. 8.4 - How many positive integers less than 10,000 are...Ch. 8.4 - How many distinct arrangements are there of two...Ch. 8.4 - How many positive integers less than 1,000,000 are...Ch. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - What is the probability that a randomly chosen...Ch. 8.5 - Prob. 20ECh. 8.5 - Three $ 10 bills, four $5 bills, and six $1 bills...Ch. 8.5 - If a 5-member committee is selected at random from...Ch. 8.5 - Suppose that we randomly distribute 5 distinct...Ch. 8.5 - If 10 quarters are distributed at random to 4...Ch. 8.5 - Exactly 4 of 20 microcomputer diskettes are...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - In Exercises 31–34, compute the probability of...Ch. 8.5 - A file contains 25 accounts numbered 1–25. If 5 of...Ch. 8.5 - In the Illinois State Lotto game, 6 of the...Ch. 8.6 - In a survey of moviegoers it was found that 33...Ch. 8.6 - Among a group of children, 88 liked pizza and 27...Ch. 8.6 - Among the 318 members of a local union, 127 liked...Ch. 8.6 - In a particular dormitory, there are 350 college...Ch. 8.6 - From a group of 650 residents of a city, the...Ch. 8.6 - In tabulating the 5681 responses to a...Ch. 8.6 - The following data were obtained from the...Ch. 8.6 - The following information was found about the...Ch. 8.6 - Eight married couples came to a bridge party. Each...Ch. 8.6 - List all the derangements of 1, 2, 3, 4.
Ch. 8.6 - While taking a 6-week summer math class, Alison...Ch. 8.6 - How many sequences of five digits (0–9) contain at...Ch. 8.6 - For the following graph, determine the number of...Ch. 8.6 - If three married couples are seated randomly in...Ch. 8.6 - How many positive integers less than 101 are...Ch. 8.6 - How many sequences of six digits (0–9) contain at...Ch. 8.6 - At Brokaw Hospital, six babies were born to six...Ch. 8.6 - In how many ways can four married couples be...Ch. 8.6 - How many arrangements of the numbers 1, 1, 2, 2,...Ch. 8.6 - How many five-card poker hands contain at least...Ch. 8.6 - How many of the functions with domain {5, 6, 7, 8,...Ch. 8.6 - How many nonnegative integer solutions of x1 + x2...Ch. 8.6 - Suppose that five balls numbered 1, 2, 3, 4, and 5...Ch. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - For nonnegative integers n and m, define S(n, m)...Ch. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - In Exercises 7-18, determine the successor of...Ch. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.7 - Prob. 30ECh. 8.7 - Prob. 31ECh. 8.7 - Prob. 32ECh. 8 - Prob. 1SECh. 8 - Prob. 2SECh. 8 - Prob. 3SECh. 8 - Prob. 4SECh. 8 - Prob. 5SECh. 8 - Prob. 6SECh. 8 - Prob. 7SECh. 8 - Prob. 8SECh. 8 - Prob. 9SECh. 8 - Prob. 10SECh. 8 - Prob. 11SECh. 8 - Prob. 12SECh. 8 - Prob. 13SECh. 8 - Prob. 14SECh. 8 - Prob. 15SECh. 8 - Prob. 16SECh. 8 - Prob. 17SECh. 8 - How many integers between 1500 and 8000...Ch. 8 - Prob. 19SECh. 8 - Prob. 20SECh. 8 - Prob. 21SECh. 8 - Prob. 22SECh. 8 - Prob. 23SECh. 8 - Prob. 24SECh. 8 - Prob. 25SECh. 8 - Prob. 26SECh. 8 - Prob. 27SECh. 8 - Prob. 28SECh. 8 - Prob. 29SECh. 8 - Prob. 30SECh. 8 - Prob. 31SECh. 8 - Prob. 32SECh. 8 - Prob. 33SECh. 8 - Prob. 34SECh. 8 - Prob. 35SECh. 8 - Prob. 36SECh. 8 - Prob. 37SECh. 8 - Prob. 38SECh. 8 - Prob. 39SECh. 8 - Prob. 41SECh. 8 - Prob. 42SECh. 8 - Prob. 43SECh. 8 - Prob. 44SECh. 8 - Prob. 45SECh. 8 - Prob. 46SECh. 8 - Prob. 47SECh. 8 - Prob. 49SECh. 8 - Prob. 50SECh. 8 - Prob. 51SECh. 8 - Prob. 52SECh. 8 - Prob. 53SECh. 8 - Prob. 56SECh. 8 - Prob. 57SECh. 8 - Prob. 3CPCh. 8 - Prob. 4CP
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- use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)=xsqrt(9-(x^2))arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward
- 1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forwardMatch the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forward
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