In how many ways can the television director of Exer-cise 38 fill the six time slots for commercials if there are three different sponsors and the commercial for each is tobe shown twice?

Q: Wholemark is an Internet order business that sells one popular New Year's greeting card once a year.…

A: Given: Cost of the paper = $0.05 per card Cost of printing = $0.15 per card Selling price = $2.15…

Q: Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the bushes…

A: Given 6 gray geckoes, 12 geckoes that had dropped their tails in an effort to escape, 15 geckoes…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: In how many ways can 4 out of 6 films be shown one after the other

A:

Q: A class held a quiz bee for their different classes and students were awarded medals in different…

A:

Q: 13 In how many ways can first 5 prizes be rewarded to 15 students if each student is entitled to…

A: total prizes = 5 students available =15

Q: Ex: An experimenter partitions a field into 64 same lots. Experimenter uses 5 different seeds, 3…

A: Given, No of Lots = 64 no of seeds = 5 no of pesticides = 3  no of fertilizers = 4

Q: A staff number of a BigHit company is composed of 2 non-vowels uppercase alphabets and 3 digit…

A: GivenA staff number of a BigHit company is composed of 2 non-vowelsuppercase alphabets and 3 digit…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: may a. In how many ways may the scholarships be awarded such that 2 men and 2 women are selected. b.…

A: Here given , there are 4 different prizes  And here there are 5 men and 4 women in group of scholar…

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

Q: An environmental epidemiologist has designed an experiment to test whether the claims of a chemical…

A: To compare the means of more than 2 groups, ANOVA test is used. The null hypothesis claims that the…

Q: The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the…

A: We have given that  The NYC Department of Health wants to know if LESS than 95% of the dogs in the…

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to…

A: Solution Determine the probability of a composition shingle roof claim out of 10,000 = 7/10000 =…

Q: 1. Blacklist International has 10 posters waiting to be displayed at the lobby of Tier One…

A: Here Given  Total No of poster to be Displayed=10 No of days for display without repetition=45 X= No…

Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the…

A: Given information: Twenty 1000-peso bills Total number of people = 10 Number of people to be…

Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Follow the steps.

Q: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…

A: A  rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…

Q: A deli wants to line up all of their 20 pre-made sandwiches for display. There are 17 sandwiches…

A: We need to show that there will be 5 regular rolls in a row.

Q: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…

A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: Example 4. Out of total number of 2,807 women, who were interviewed for employment in a rextile…

A:

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: In how many ways can first and second prize be awarded in contest with 100 people, assuming that…

A: There are 100 students in the contest.

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: What is the standard error?

A: Test is that if LESS than 95% of the dogs in the city have been vaccinated with their rabies…

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: For traveling salesman problem applied to 5 cities (including the home city), how many tours are…

A:

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: if a coin is tossed 4 times, and then a standard 6 sided die is rolled 4 times and a group of 3…

A: Given Coin is tossed. 4 times  Standard 6 sided die. Rolled 4 times  Group of 3 cards drawn  without…

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…

Q: Queen Mutuashi, a medical researcher at a famous hospital in Mombasa is interested in finding the…

A: Note :- According to our company guideline i can do maximum 3 sub parts so kindly repost other parts…

Q: What is the Z obt?

A: Test is that if LESS than 95% of the dogs in the city have been vaccinated with their rabies…

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Given, there are 12 appointment openings  and 8 customers have signed up already number of ways the…

Q: A professor has been teaching an undergraduate course for the last 15 years and has noticed that in…

A: The given table can be represented as follows.   Completed prior Simultaneously Row Total Pass…

Q: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

A: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

Q: In how many ways can 3 blue books and 4 red books be arranged on a shelf if a red book must be on…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: The market research department at a manufacturing plant determines that 30% of the people who…

A: As per the question: People who purchase the plant's product during any month will not purchase it…

Q: 2. In how many ways can five students queue for tickets for a show?

A: The number of ways in which five students queue for tickets for a show is           5!  ways…

Q: A professor has been teaching an undergraduate course for the last 15 years and has noticed that in…

A: Given that, Outcome Completed prior Simultaneously Pass 1105 60 Fail 120 515 The Null…

Q: suppose that five service customers need service call and the maintenance worker can only service…

A:

Q: 4 Suppose that a goup of 150 students have joined at least one of the chat rooms: one on auto…

A:

Q: Suppose 10 baseball players are available to be drafted by 4 teams where each team might win any…

A: Assume the number of players drafted in 4 teams are x , y , z and w. Total number of players = 10…

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

A:

Q: The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the…

A: We have given that  The favourable number of cases X = 158045 Sample size n = 165000

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.