3. A blood bank needs twenty people to help with a blood drive. Twenty-five people have volunteered. How many different groups of twenty can be formed from the twenty-five volunteers?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

A:

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

A:

Q: In how many ways can a committee men be formed from 8 people?

A: GIvenNo.of people(n) = 8

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: A survey of 202 persons was conducted at TCC, and it was found that 83 persons carried a cell phone,…

A: It is given that, A survey was conducted over 202 people out of which No. of person who carried a…

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A:

Q: How many ways can a committee of four people be chosen from a group of eight people?

A: Given data, Total number of people = 8 People select for committee = 4

Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

Q: If 5 out of 7 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: In how many ways can six books be lined up along a shelf?

A:

Q: A car manufacturer estimates that 25% of the new cars sold in one city have defective engine mounts.…

A: Given information:A car manufacturer estimates that 25% of the new cars sold in one city have…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

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 survey of 131 persons was conducted at TCC, and it was found that 82 persons carried a cell phone,…

A: According to bartleby policy I have solved first three subparts. I hope it will help you

Q: 3. The 2410 women undergraduates at the college comprise 54% of all undergraduates. How many…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: If 162 strings of lights were disposed of last week because they were deficient, how many strings of…

A:

Q: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: 4. What is the number of different ways to divide a group of 20 people equally into 2 sub-groups?

A: Permutation and combinations

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: How many different committees of size  3  can be formed from  15  people?

A:

Q: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: In how many ways can Janice arrange 6 potted plants in a row?

A: Number of plants = 6

Q: A student is to answer 7 out of 9 questions on a midterm test. i) How many examination selections…

A: i) Given that there are total 9 questions and he has to select 7 questions. So the total number of…

Q: 1. The population of the College of Business Administration has increased from 1, 260 to 1,440…

A: The population is increased from 1260 to 1440. Previous faculty number is 35.

Q: Suppose 20% of cars are sportscars and that 30% of sportscars are red, and that 25% of all cars are…

A:

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: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: 4. How many committees of 4 men and 7 women can be selected from a group of 9 men and 10 women?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: In how many different ways can we select a committee of four members from 13 applicants?

A:

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: 1. From a group of 12 teachers, how many different committees can be formed consisting four or five…

A:

Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: 11. How many 12-person juries can be made from a jury pool of 20 people?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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 committee of ten people must choose a president, a vice president, and a secretary. In how many…

A: Given that, A committee of ten people must choose a president, a vice president, and a secretary.…

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: How many ways are there to distribute 4 (identical) tomato plants and 5 (distinct) succulents, each…

A: Reviewing information, No. of tomato plants= 4 No. of succulents= 5

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: 1. How many more male students than female students are there? 2. How many total students are there…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: 1. (a) How many ways can a 3-person subcommittee be selected from a committee of 20 people (b) How…

A: a) Total number of people = 20 We have to pick a subcommittee of 3 people. So the order does not…