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Counting Principles Solve these exercise by using the appropriate counting principle(s). Casting a Play A group of 22 aspiring thespians contains 10 men and 12 women. For the next play, the director wants to choose a leading man, a leading lady, a supporting male role, a supporting female role, and eight extras—three women and five men. In how many ways can the cast be chosen?

Counting Principles Solve these exercise by using the appropriate counting principle(s). Casting a Play A group of 22 aspiring thespians contains 10 men and 12 women. For the next play, the director wants to choose a leading man, a leading lady, a supporting male role, a supporting female role, and eight extras—three women and five men. In how many ways can the cast be chosen?

Solution Summary: The author explains how the number of ways to choose the cast of the play is 79833600.

College Algebra

College Algebra

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Textbook Question

Chapter 9.1, Problem 80E

Counting Principles Solve these exercise by using the appropriate counting principle(s).
Casting a Play A group of 22 aspiring thespians contains 10 men and 12 women. For the next play, the director wants to choose a leading man, a leading lady, a supporting male role, a supporting female role, and eight extras—three women and five men. In how many ways can the cast be chosen?

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Chapter 9.1, Problem 79E

Chapter 9.1, Problem 81E

Chapter 9 Solutions

College Algebra

Ch. 9.1 - The Fundamental Counting Principle says that if...Ch. 9.1 - The number of ways of arranging r objects form n...Ch. 9.1 - The number of ways of choosing r objects from n...Ch. 9.1 - True or False? In counting combinations, order...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 55E Ch. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 57E Ch. 9.1 - Prob. 58E Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - Prob. 61E Ch. 9.1 - Prob. 62E Ch. 9.1 - Prob. 63E Ch. 9.1 - Prob. 64E Ch. 9.1 - Prob. 65E Ch. 9.1 - Prob. 66E Ch. 9.1 - Prob. 67E Ch. 9.1 - Prob. 68E Ch. 9.1 - Prob. 69E Ch. 9.1 - Prob. 70E Ch. 9.1 - Prob. 71E Ch. 9.1 - Prob. 72E Ch. 9.1 - Prob. 73E Ch. 9.1 - Prob. 74E Ch. 9.1 - Prob. 75E Ch. 9.1 - Prob. 76E Ch. 9.1 - Prob. 77E Ch. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 79E Ch. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 81E Ch. 9.1 - Prob. 82E Ch. 9.1 - Prob. 83E Ch. 9.1 - Prob. 84E Ch. 9.1 - Prob. 85E Ch. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 87E Ch. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 89E Ch. 9.1 - Prob. 90E Ch. 9.1 - Prob. 91E Ch. 9.1 - DISCUSS: Complementary Combinations Without...Ch. 9.1 - Prob. 93E Ch. 9.1 - DISCUSS • DISCOVER: Why ls (;) the Same as C(n,r)?...Ch. 9.2 - The set all possible outcomes of an experiment is...Ch. 9.2 - Prob. 2E Ch. 9.2 - The conditional probability of E given that F...Ch. 9.2 - Let E and F be events in a sample space S. (a) The...Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - probability by Counting these exercises involve...Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - A poker hand, consisting of five cards, is dealt...Ch. 9.2 - Three CD, arc picked it random from a collection...Ch. 9.2 - Two balls are picked at random from a jar that...Ch. 9.2 - A letter is chosen at random from the word...Ch. 9.2 - A five-card poker hand is drawn from a standard...Ch. 9.2 - A pair of dice is rolled, and the numbers showing...Ch. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Refer to the spinner in Exercises 21-22. 21-22...Ch. 9.2 - Refer to the spinner in Exercises 21-22 21—22...Ch. 9.2 - Prob. 31E Ch. 9.2 - Two balls are drawn at random from the jar. Find...Ch. 9.2 - Prob. 33E Ch. 9.2 - Intersection of Events these exercises involve the...Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Four Siblings A couple intends to ha four...Ch. 9.2 - Bridge Hands What is the probability that a...Ch. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - An Unlikely Event The president of a large company...Ch. 9.2 - Prob. 47E Ch. 9.2 - Quality Control To control the quality of their...Ch. 9.2 - Monkeys Typing Shakespeare An often-quoted example...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 56E Ch. 9.2 - Snake Eyes What ¡s the probability of rolling...Ch. 9.2 - Lottery In the 6/49 lottery game a player selects...Ch. 9.2 - Marbles In a Jar A jar contains six red marbles...Ch. 9.2 - Prob. 60E Ch. 9.2 - Balls in a Jar Jar A contains three red balls and...Ch. 9.2 - Prob. 62E Ch. 9.2 - Prob. 63E Ch. 9.2 - Committee Membership A mathematics department...Ch. 9.2 - Class Photo Twenty students are arranged randomly...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 68E Ch. 9.3 - A binomial experiment is UDC in which there are...Ch. 9.3 - If a binomial experiment has probability p...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 11E Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Probability Distribution An experiment is...Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Archery An archer hits his target 80% of the time....Ch. 9.3 - Prob. 23E Ch. 9.3 - Spread of Disease Health authorities estimate that...Ch. 9.3 - Blood Type about 45% of populations Of the United...Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Defective Light Bulbs The Dim Bulb lighting...Ch. 9.3 - Quality Control An assembly line that manufacturer...Ch. 9.3 - Sick leave probability that a given worker at Dyno...Ch. 9.3 - Political Surveys In a certain county, 60% of the...Ch. 9.3 - Pharmaceuticals A drug that is to prevent motion...Ch. 9.3 - Reliability of a Machine A machine that is used in...Ch. 9.3 - Genetics Huntington's disease a hereditary ailment...Ch. 9.3 - Select Cards Three cards are randomly selected...Ch. 9.3 - Smokers md Nonsmokers The participants at a...Ch. 9.3 - Telephone Marketing A mortgage company advertises...Ch. 9.3 - Effectiveness of a Drug A certain disease has a...Ch. 9.3 - Hitting a Target An archer normally hits the...Ch. 9.3 - DISCUSS: Most Likely Outcome for n Tosses of a...Ch. 9.4 - If a game gives payoffs of $10 and $100 with...Ch. 9.4 - If you played the game in Exercise 1 many times,...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Roulette An American roulette wheel has 38 slots....Ch. 9.4 - Sweepstakes A sweeptakes offer ¡s first prize of...Ch. 9.4 - A Game of Chance A box contains 100 envelopes. Ten...Ch. 9.4 - Combination Lock A safe containing $1000000 is...Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Lottery In a 6/49 lottery game, a player pays $1...Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Prob. 22E Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9 - Prob. 1CC Ch. 9 - Prob. 2CC Ch. 9 - (a) What is a combination of r elements of a set?...Ch. 9 - Prob. 4CC Ch. 9 - Prob. 5CC Ch. 9 - Prob. 6CC Ch. 9 - Prob. 7CC Ch. 9 - (a) An experiment has two outcomes, "success" and...Ch. 9 - Prob. 9CC Ch. 9 - Prob. 1E Ch. 9 - Prob. 2E Ch. 9 - Prob. 3E Ch. 9 - Prob. 4E Ch. 9 - Prob. 5E Ch. 9 - Prob. 6E Ch. 9 - Prob. 7E Ch. 9 - Prob. 8E Ch. 9 - Prob. 9E Ch. 9 - Counting These exercises involve counting....Ch. 9 - Counting These exercises involve counting. Coin...Ch. 9 - Prob. 12E Ch. 9 - Counting These exercises involve counting. Tennis...Ch. 9 - Counting These exercises involve counting. Pizza...Ch. 9 - Prob. 15E Ch. 9 - Prob. 16E Ch. 9 - Prob. 17E Ch. 9 - Prob. 18E Ch. 9 - Prob. 19E Ch. 9 - Prob. 20E Ch. 9 - Prob. 21E Ch. 9 - Prob. 22E Ch. 9 - Prob. 23E Ch. 9 - Prob. 24E Ch. 9 - Prob. 25E Ch. 9 - Prob. 26E Ch. 9 - Prob. 27E Ch. 9 - Prob. 28E Ch. 9 - Prob. 29E Ch. 9 - Prob. 30E Ch. 9 - Probability These exercises involve Probability...Ch. 9 - Prob. 32E Ch. 9 - Prob. 33E Ch. 9 - Prob. 34E Ch. 9 - Prob. 35E Ch. 9 - Prob. 36E Ch. 9 - Prob. 37E Ch. 9 - Prob. 38E Ch. 9 - Prob. 39E Ch. 9 - Prob. 40E Ch. 9 - Prob. 41E Ch. 9 - Prob. 42E Ch. 9 - Prob. 43E Ch. 9 - Binomial Probability These Exercise involve...Ch. 9 - Prob. 45E Ch. 9 - Prob. 46E Ch. 9 - Prob. 47E Ch. 9 - Prob. 48E Ch. 9 - Expected Value These exercises involve expected...Ch. 9 - Prob. 50E Ch. 9 - Alice and Bill have four grandchild, and they have...Ch. 9 - A hospital cafeteria offers a fixed-price lunch...Ch. 9 - An Internet service provider requires its...Ch. 9 - Over the past year, John has purchased 30 books....Ch. 9 - A commuter must Lrae1 from Ajax to Barrie and back...Ch. 9 - A pizza parlor offers four sizes of pizza and 14...Ch. 9 - An anagram of a word is a rearrangement of the...Ch. 9 - Prob. 8T Ch. 9 - One card ¡s drawn from a deck. Find the...Ch. 9 - A jar contains five red balls, numbered 1 to 5,...Ch. 9 - Three people are chosen at random from a group of...Ch. 9 - Prob. 12T Ch. 9 - In a group of four students, what is the...Ch. 9 - An unbalanced coin is weighted so that the...Ch. 9 - Prob. 15T Ch. 9 - Prob. 1P Ch. 9 - Family Planning A intend to have two children....Ch. 9 - Dividing a Jackpot A game between two pIayers...Ch. 9 - Long or Short World Series? In the World Series...Ch. 9 - Prob. 5P Ch. 9 - Areas of Curved Regions the Monte Carlo method can...Ch. 9 - Prob. 7P

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