In how many ways can president, vice-president, and secretary be chosen from a group of 20 people, if Sarah, one of the 20 people, does not want to be president, but is willing to hold either of the other positions?

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A:

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

Q: III. In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there…

A: (3) (a)  here number of gentleman=7 number of ladies==3 number of couples=3 if we consider couple(…

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: In how many ways can two cards be drawn from a deck of cards?

A: Given that  Total number of cards=52 2 cards are drawn  Find the number of ways

Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

A:

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can a chairperson and a treasurer be chosen from a club with 18 members, all of…

A: Total number of members is =18

Q: In how many ways can you schedule your summer tour to visit the major Italian cities of Roma,…

A: Given information: Schedule for summer tour include visiting the major Italian cities of Roma,…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

A: There are a total of 210 contestants. Remember that the same person cannot receive more than 1…

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A:

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, and 2 Italians be seated in a row so that…

A: We have given that  Americans = 3 Frenchmen = 4 Danes = 4 Italians = 2

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: 1. Ten people (5 men and 5 women)are attending a dinner party. In how many ways can they be arranged…

A: Ten people (5 men and 5 women)are attending a dinner party.

Q: A class contains 9 boys and 3 girls. (a) In how many ways can the teacher choose a committee of 4?…

A: ANSWER: From the given data,

Q: n how many ways can a committee of 5 be formed from a group of 11 people consisting of 4 teachers…

A: Total members available  = 11 The committee consists of 5 members   Here there are 3 cases possible:…

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: In how many ways can 3 novels, 4 mathematics books, and 1 biology book be arranged on a bookshelf if…

A: Given, 3 Novels N1, N2, N3 4 Mathematics M1, M2, M3, M4 1 Biology B1

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: In how many ways can a person select seven party guests from 12 women if he is to avoid having a…

A:

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

A:

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: Given: Total number of people = 10 (including Francis and Jojo)Required committees = 4 person

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: In how many ways can a committee of five men and four women be formed from a group of ten men and…

A: ,Of the 9 women available, we must choose 4. The number of possible is

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: How many ways can a group of 7 blood donors be chosen from 5 type A donors, 5 type O donors, 4 type…

A:

Q: 16 members is to choose three officers:

A: Given that  A club with 16 members  (n) = 16 we have to choose three officers: President, vice…

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: Suppose there are 14 freshman, 13 sophomores, 15 juniors, and 17 seniors running for the offices of…

A: There are 14 freshman, 13 sophomores, 15 juniors and 17 seniors.

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: A question is given with 3 parts. The solution is given below.

Q: Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of…

A:

Q: Complete task from image

A:

Q: toys of the same material type must be grouped together;(B)rubber toys should not be next to each…

A: Here 3 paper toys, 7 rubber toys, and 5 plastic toy so total 15 toys

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

Q: A club with sixteen members is to choose three officers: president, vice-president, and secretary…

A: Given: Number of members = 16 Number of officer has to choose = 3 (president, vice-president, and…

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

A:

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.