A pharmaceutical company recently hired 5 biologists, 3 chemists, 4 environmental scientists, and 3 economists for various upcoming projects. Suppose that the company wants to form an interdisciplinary project group of 7 from these new hires to assess the potential environmental impact of developing a new experimental drug. How many project teams contain no chemists? How many project teams contain 3 biologists, 1 chemist, 2 environmental scientists, and 1 economist?  How many project teams have at least 1 chemist?

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A:

Q: A wildlife reserve offers six types of annual membership to individuals. The charges are shown in…

A: The correct answer is as follows:

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

A:

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

A:

Q: The Enormous State University History Department offers three courses-Ancient,Medieval and Modern…

A: Given  The department is allowed to offer 43 sections in total,  there are 7,400 students who would…

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

A:

Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in…

A: Given that there are 4 alternative methodologies. That means the methodologies are independent and…

Q: We need to form a Nobel Prize committee consisting of 5 women and 6 man out of 10 women and 12 men.…

A:

Q: , and​ secretary-treasurer. If each office is to be held by one person and no person can hold more…

A:

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Let x be the number of Ancient History sections, y be the number of Medieval History sections, and z…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

Q: A zoo has six male bears and seven female Two male bears and three female bears will be selected for…

A: Number of male bears=6; Number of female bears = 7 Total number of bears = 6+7=13 The number of…

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Number of men = 8  Number of women = 7  Total number of men and women = 15

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: Tom Doe, a small investor, wishes to buy stock in three of 8 Biotech companies, two of 10 retail…

A: Given Tom Doe, a small investor, wishes to buy stock in three of 8 Biotech companies twoof 10 retail…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: A wildlife reserve offers six types of annual membership to individuals. The charges are shown in…

A:

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: The Senate in a certain state is comprised of 53​ Republicans, 44 Democrats, and 33 Indeependents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

Q: A snowboard manufacturer has three plants, one in the eastern United States, one in the western…

A: a) To calculate the proportion of the defective boards manufactured last month was,

Q: From the 8 male and 10 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: From 8 male sales representatives  , 2 men can be selected in 8C2 = 28 ways. From 10 female sales…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A:

Q: A microprocessor production plant produces chips of three categories: Grade A, Grade B, and Grade C.…

A: From the given information

Q: The qualified applicant pool for three management trainee positions consists of seven men and six…

A: Given, The qualified applicant pool for 3 management Trainee positions consist of 7 men and 6…

Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had…

A:

Q: there are 6000 students at mountain high school and 3/4 of these students are seniors,if 2/3 of the…

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: From three different rice fields, Lito harvested 89 1/3 sacks. 174 5/6 sacks, and 275 4/9 sacks of…

A: The basic arithmetic operators are addition, subtraction, multiplication and division. A mixed…

Q: A wildlife reserve offers six types of annual membership to individuals. The charges are shown in…

A: Introduction: Define X as the random variable of interest here, denoting the annual membership…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: The board of directors of a cooperation must select a president, a secretary, and a treasurer. In…

A: Total members on the board of directors = 15 members

Q: he Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Use the given data to form linear equations. As three things are asked thus a minimum of three…

Q: A college offers 2 introductory courses in​ history, 1 in​ science, 1 in​ mathematics, 4 in​…

A: a) In this case, the freshman takes one course in each area during her first semester.

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: The department is allowed to offer 43 sections total, there are 4,800 students who would like to…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Let x be the number of ancient history section, y be the number of medieval history section  and z…

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Let number of sections allowed for Ancient History=x,…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A:

Q: In a survey of 165 students, it was found that 65 students use Facebook, 85 students use Instagram,…

A:

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A:

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

Q: A committee of 3 men and 2 women can be formed from a group of 10 men and 9 women in nothing…

A: Given a committee of 3 men and 2 women can be formed from a group of 10 men and 9 women.

Q: A math club has eight members, and it must choose 5 officers---president, vice-president, secretary,…

A: We have 8 persons and we have to fill 5 places for the 5 officers.

Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

A: