A fun fair requires 3 employees to sell tickets. There are 9 people available. How many ways could a group of 3 be chosen?

Q: In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2)…

A: Given Information: There are 7 Engineers and 5 Accountants in a factory. The Committee should have 3…

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: A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and…

A:

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: In an office of 18 people, there are 7 men and 11 women. A subcommittee of four people will be…

A: Given: total = 18 members Number of men = 7 Number of female = 11

Q: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

A:

Q: A clothing store has a selection of 80 different ties. How many ways can six ties be selected for…

A: It is given that, A clothing store has a selection of 80 different ties. Chris and Alex select 6…

Q: Investigative Team The state narcotics bureau must form a 5-member investigative team. If it has 30…

A:

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

A:

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: A high school wants to buy six computers for its laboratory from a local supplier. The supplier has…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: How many ways can 7 people line up in a cafeteria line? How many ways can five people be chosen from…

A:

Q: In the Pinoy Big Brother House, the original housemates composed of 6 males and 6 females were asked…

A: Here we solve the given problem.

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: How many ways can 3 runners be selected for the Olympics from a field of 5 contestants?

A: Number of ways in which X runners can be selected for the Olympics from a field of N contestants is…

Q: There are 50 students in a class and three of them will be in a student government, either as…

A: Total number of students = 50

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: A baseball team is having a walk-on tryout camp for players. Thirty-four players show up at camp,…

A: Number of players (n) = 34 Coaches choosing only (r) = 3 By using combination formula

Q: You are picking 7 people out of 25 total. How many ways are there to do this if... (a) ...seating…

A: Given that 7 people out of 25 total are selected. a) Seating order matters: Number of ways is…

Q: n soccer, a tie at the end of regulation time leads to a shootout by three members from each team.…

A: Given that  Number of players available (n) = 11 Players need to be selected = 3   We know that We…

Q: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: The number of ways a team of 2 players can be chosen out of 6 players is

A: Our Aim is to tell the number of ways a team of 2 players can be chosenout of 6 players is ____

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: In a class of 6 girls and 5 boys, how many seating arrangements can be done

A: There are 6 girls and 5 boys in a class The seating arrangements type is  GBGBGBGBGBG So,  6!*5!…

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

A:

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

Q: A track coach needs to select 2 students from each grade level to cre- ate a board of…

A:

Q: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: As per our policy we can solve only 3 sub parts per question in a post. Kindly repost for remaining…

Q: How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and…

A: Total number of available appetizers = 6Number of appetizers to be selected = 3Total number of…

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

A:

Q: _6. Rylan's basketball team has 11 players. How many ways can his coach choose five starting…

A: Given;  1): No of player =11  To choose 5  starting players from the 11 players then nonof ways ?…

Q: 3. In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black, 2…

A: Answer: In 180 ways 2 black , 2 white, and 2 red pens can be chosen.

Q: How many ways can you pick five students for the student council when there are twelve people…

A: The mathematical formulation which can be used to determine the total number of ways in which r…

Q: In a company, you need to pick from your employees to be the manager, the supervisor, the…

A:

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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.