A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice President?

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: There are 8 boys and 7 girls in the debate team at Central High School. In how many ways can a…

A: We have 8 boys and 7 girls in the debate team.  We need to make a team consisting of 4 members, such…

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: A president, vice-president, secretary, and treasurer are 4 different positions.  So we will have to…

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A:

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

A:

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

A:

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: The BMCC math club has 50 members. a. In how many different ways can it select a group of 4…

A: he BMCC math club has 50 members.

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are five men and seven…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: An ice cream store sells two drinks in four sizes and has five flavor add ons. In how many ways can…

A: From the provided information, The ice cream store sells two drinks in four size and has five flavor…

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

A:

Q: 3. If ice cream is served in a cone, in how many ways can Abby choose her three-flavored ice cream…

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: The math club has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: a local government had an employee reduction and lost 1/5 of its employees . If 88 of its employees…

A:

Q: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

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Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: The number people to be chosen for the subcommittee is 7. There are 7 democrats and 7 Republicans.…

Q: A group has 12 members. In how many ways can 4 officers consisting of president , vice-president ,…

A: Total members n=12 no of officers r=4 Total no of ways=?

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

A:

Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

A:

Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: If a family has seven children, in how many ways could the parents have three boys and four girls?

A: Since there are 7 children. To find the number of ways such that parents have three boys and four…

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: In how many ways can 11 people be seated in a round table with 8 seats?

A:

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A:

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

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.