Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen that consist of three men and four women?

Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

A:

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

A:

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

A:

Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

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

A:

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: Given information is : A company has 12 male and 11 female employees. What to find..... company…

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: A club with 20 women and 17 men needs to form a committee of size six. How many committees are…

A:

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: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: From  a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no…

A: Given,no.of men=4no.of women=5total no.of people=9

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: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

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

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: A company has 9 male and 7 female employees, and needs to nominate 2 men and 2 women for the company…

A: Combination:         A combination is a selection of all object or part of a set of objects, without…

Q: Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can…

A: A group consist of fire men and sexes women. We have to make a fire person team with 3men and 2…

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

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

A: To find the number of ordered lists.

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

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

A:

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men…

A:

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A:

Q: how many teams can be made if they must all be boys?

A:

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: How many different committees can be formed from 11 teachers and 48 students if the committee…

A: a) answer = (11C3)*(48C2) = 165*1128 = 186120 Therefore, 186120 committees can be possible with 3…

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: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: Suppose a group of eleven people consists of five men and six women. How many committee of of…

A: From the provided information, A group of 11 people consists 5 men and 6 women. A committee of 5…

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: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.