In one year, three awards (research, teaching, and service) will be given to a class of 25 graduate students in a statistics department. If each student can receive at most one award, how many possible selections are there?

Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

A:

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: A group of 50 teachers and school administrators attended a convention. If any two persons are…

A: Solution: Let x be the number of teachers.

Q: A group of 107 people were polled about their common means of transportation. Fifty of them said…

A: We use the Venn diagram to solve the given question.

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: How many ordered lists are there of seven items chosen from twelve?

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Q: How many ordered lists are there of two items chosen from twelve?

A:

Q: How many ordered lists are there of ten items chosen from fourteen?

A:

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: If only 15% of people asked to mail in a survey respond, this is an example of

A: Given that  Only 15% of people asked to mail in a survey respond.  We know that  Response bias :…

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: A pollster randomly selected 4 of 10 available people. How many different groups of 4 are possible?

A: Given,   A pollster randomly selected 4 of 10 available people.   The objective is to find how many…

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: Suppose a survey is taken of 300 high school seniors out of a total of 1,000 seniors. This group is…

A: the group is probably a

Q: From a group of 20 children, how many must you choose, if you want to make sure two of them have…

A: There are 12 month in a year, thus let m=12. Let n denote the number of chosen children who have…

Q: One household is to be selected at random from a town.

A: One household is to be selected at random from a town.   The probability that the household has a…

Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: In a fertility clinic, 40% of the women patients did not become pregnant, 30% had a singleton birth,…

A:

Q: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

A: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

Q: a study with 5 groups, 6 samples each group, what are the degrees of freedom for the total, group,…

A: Given: Number of groups (k) = 5 Number of samples each group (n)=6

Q: In a board of directors composed of eighteen people, how many ways can a chief executive officer, a…

A: Given data, No of people=18 No of designations=3 No of ways=?

Q: In how many ways can an examinee check off one answer to each question and get all the answers…

A:

Q: A survey of 300 workers yielded the following information: 231 workers belonged to a union and 195…

A: given that total workers = 300 Let U denotes union and 231 belonged to union that is, n(U)=231 Let D…

Q: Following the model above, if 128 different people each observe one randomly chosen groups of four…

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Q: how many ordered lists are there of three items chosen from six ?

A:

Q: From a survey of 100 college students, a marketing research company found that 50 students owned…

A: Given form a survey of 100 college students a marketing researchcompany found that 50 student…

Q: How many ordered lists are there of two items chosen from five?

A: To find the number of ordered lists.

Q: If I use the portion of the given random number table to select the first five students to be…

A: Given that there are 250 students and they are numbered from 001 to 250 in alphabetical order. To…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: The table shows the political party affiliations for a medium-sized neighborhood with 94 adults. If…

A:

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: How many different committees can be formed each consisting of 4 men and 4 women from a pool of 9…

A: The number of men in the pool are 9. The number of women in the pool are 10. The number of men…

Q: 3. If there are six candidates, how many comparisons should be made?

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

A:

Q: A company conducted a marketing survey of college students and found that 191 own a bicycle and 74…

A:

Q: In a class, 96% students have at least one smartphone, 98% have a calculator, and 95% have a…

A:

Q: A survey conducted by the Bureau of Labor Statistics found that 67% of high school graduating class…

A: Let A denotes the student in the high school graduating class went on to college and B denotes…

Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A: