Finite Mathematics (11th Edition)
Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Chapter 8.2, Problem 49E

(a)

To determine

Find the number of different committees possible by adding up the number of committees of different sizes.

(b)

To determine

The number of different committees possible.

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Chapter 8 Solutions

Finite Mathematics (11th Edition)

Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 1-12, evaluate the factorial or...
Ch. 8.1 - Prob. 11ECh. 8.1 - In Exercises 1 evaluate the factorial or...Ch. 8.1 - How many different types of homes are available if...Ch. 8.1 - A menu offers a choice of 3 salads, 8 main dishes,...Ch. 8.1 - Prob. 15ECh. 8.1 - In a club with 16 members, how many ways can a...Ch. 8.1 - Define permutation in your own words.Ch. 8.1 - Explain the difference between distinguishable and...Ch. 8.1 - Prob. 19ECh. 8.1 - In Example 6, how many unordered 2-letter subsets...Ch. 8.1 - Prob. 21ECh. 8.1 - A printer has 5 A's, 4 B's, 2 C's, and 2 D's. How...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Life Sciences Drug Sequencing Twelve drugs have...Ch. 8.1 - Prob. 35ECh. 8.1 - Science Conference At an annual college science...Ch. 8.1 - Social Sciences Social Science Experiment In an...Ch. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Union Elections A chapter of union Local 715 has...Ch. 8.1 - Prob. 41ECh. 8.1 - Programming Music A zydeco band from Louisiana...Ch. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - IP Addresses Every computer or other device...Ch. 8.1 - License Plates For many years, the state of...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Traveling Salesman In the famous Traveling...Ch. 8.1 - Prob. 55ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - In how many ways can a hand of 6 red cards he...Ch. 8.2 - Prob. 13ECh. 8.2 - An economics club has 31 members. (a) If a...Ch. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - In Exercises #x2013;24, decide whether each...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...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 - Assembly Line Sampling Five items are to be...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Social Sciences Legislative Committee A...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Passwords A certain website requires users to log...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and yellow apples....Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - Two cards are drawn at random from an ordinary...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 22ECh. 8.3 - Discuss the relative merits of using tree diagrams...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - For Exercises 25-28, refer to Example 6 in this...Ch. 8.3 - Prob. 27ECh. 8.3 - For Exercises 25- refer to Example 6 in this...Ch. 8.3 - After studying all night for a final exam, a...Ch. 8.3 - Prob. 30ECh. 8.3 - If the letters l, i, t, t, l, and e are chosen at...Ch. 8.3 - If the letters M, i, s. s. i, s, s, i, p, p, and i...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Social Sciences Election Ballots Five names are...Ch. 8.3 - Native American Council At the first meeting of a...Ch. 8.3 - Prob. 46ECh. 8.3 - Education At a conference promoting excellence in...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Lottery An article in The New York Times...Ch. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Football During the 1988 college football season,...Ch. 8.3 - Prob. 74ECh. 8.3 - Bingo Bingo has become popular in the United...Ch. 8.3 - Prob. 76ECh. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has 5 children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled times. Find the probabilities of...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - How do you identify a probability problem that...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Quality Control A factory tests a random sample of...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Pecans Pecan producers blow air through the pecans...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Prob. 37ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Births of Twins The probability that a birth will...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Minority Enrollment According to the U.S....Ch. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 59ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 3ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 5ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 7ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 9ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 11ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 13ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 15ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 17ECh. 8.5 - Suppose one day Mary brings a 2-headed coin and...Ch. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Business and Economics Complaints A local used-car...Ch. 8.5 - Payout on Insurance Policies An insurance company...Ch. 8.5 - Device Failure An insurance policy on an...Ch. 8.5 - Prob. 33ECh. 8.5 - Rating Sales Accounts Levi Strauss and Company...Ch. 8.5 - Prob. 35ECh. 8.5 - Life Sciences Animal Offspring In a certain animal...Ch. 8.5 - Ear Infections Otitis media, or middle ear...Ch. 8.5 - Hospitalization Insurance An insurance policy pays...Ch. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - The Hog Game In the hug game, each player states...Ch. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8 - Refer to the example and find the following. (a)...Ch. 8 - Which policy lends to the lowest expected cost?Ch. 8 - In the example, p1 + p2 + p3 = 0.09 + 0.24 + 0.17...Ch. 8 - Suppose an item to be repaired might need one of n...Ch. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Determine whether each of the following statements...Ch. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Explain under what circumstances a permutation...Ch. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - In Exercises 41 and (a) give a probability...Ch. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Contests At one time, game boards for a United...Ch. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RE
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