Count the number of ways 2n people can be grouped into pairs. For example, when n=2 and there are four people A, B, C, and D, then there are three ways to pair them up: AB/CD, AC/BD, AD/BC.

Q: Loyd finds 8 shirts in his size at a clearance sale. How many difference purchases could Loyd make?…

A: We know that: n! = nx (n-1) x (n-2) x (n-3) ........x 2 x 1 nCr = n! / r! (n-r)!

Q: 4. In a Music club with 15 members, 7 people played piano, 6 people p 4 people did not play either…

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Q: 6 Sam is renting a car for vacation. The table shows the number of keys in a bag for each type of…

A: From the given table, we get Number of keys of SUV car = 7 Number of keys of sedan car = 16 Number…

Q: 24. Movie Selections The Foreign Language Club is showing a four-movie marathon of subtitled movies.…

A: In this question we have to tell the no. of ways that a person can select the 4 movies out of 11.

Q: There are X rows in an auditorium, and each row holds Y seats.  On how many ways may Z individuals…

A: The number of rows is X and the number of seats in each row is Y. We need to calculate the number of…

Q: (a) A company that makes crayons is trying to decide which 5 colors to include in a promotional…

A: Here use combination theory

Q: Romano's Restaurant has the menu shown in the figure below. In how many ways can a meal consisting…

A: Given Information: The menu shows that there are 6 toppings for the pizza, 6 beverages, and 5…

Q: Determine the number of 5 student committees that can be formed if: the committee must have 4 boys

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Q: on a business retreat your company of 32 executives go golfing a. you need to divid up into…

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Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: 7.) CD Selection: James ruiz has 7 CDs and wants to select 4 to play in his car CD player. In how…

A:

Q: Jack has a large baseball card collection of 2640 cards. He has them organized alphabetically from…

A: We have to find

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: n your English class, you are given a list of 12 books. You are to choose 3 books to read over the…

A: It is needed to select 3 books from the list of 12 books.

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A: The president, secretary and treasurer of the math society are to be chosen from 5 boys and 3 girls.…

Q: Fill in the blanks / identification: A class contains 10 students with 6 men and 4 women. Find the…

A: Given : A class contains 10 students: 6 men and 4 women.

Q: After gym class you are tasked with putting the 24 identical dodgeballs away into 7 bins. a. How…

A:

Q: a coach for table tennis has the following players: learsi, joel, ernesto,joseph, bryan. how many…

A: Solved below

Q: 15 athletes are assigned to one of three teams. Each team will have five athletes. The teams are…

A: Given that, 15 athletes are assigned to one of three teams. Each team will have five athletes. The…

Q: How many different ways can a teacher select 5 students from a class of 19 students to each perform…

A: Solution: here we n= 19 students And we have to select 5 students Hence r = 5 Different ways can a…

Q: Baseball In the American Baseball League, a designatedhitter may be used. How many batting orders is…

A:

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A:

Q: any work. a. At a pet store there are 38 bubble-eye goldfish. In how many ways can you choose 4 of…

A:

Q: 72% of the students at Thomas Jefferson Middle School are attending the volleyball game. There are…

A: Given: total students in the school is 300 Now, if 72% students attend the volleyball game then…

Q: Use the Multiplication Principle to find the total number of outcomes. 1. You are choosing a car.…

A: Given  8 choices for colours. 2 choices for air conditioning-with or without AC. 2 choices for…

Q: Count the number of ways 6 bottles and 5 cups can be lined up in a row if a bottle (a cup) should…

A: It is given that 6 bottles and 5 cups can be lined up in a row if a bottle should not be followed…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: Six friends, Brennan, Chad, Heather, Rona, Tracy and Trevor, a theatre. The number of ways that they…

A: It is given that, Six friends, Brennan, Chad, Heather, Rona, Tracy, and Trevor are going to the…

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A:

Q: a) In how many ways can the choreographer choose the dancers if the company has 20 dancers? 24…

A: here use combination

Q: a maths debating team consist of 4 speakers. a) in how many ways can all 4 speakers.  a.) In how…

A: Here given that a maths debating team consist of 4 speakers. we have to find a.) In how many ways…

Q: Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and…

A: Permutations and Combinations are used to arrange different persons on different chairs Total chairs…

Q: A garden has 2 rows. The first row has 5 kinds of seeds. The second row has 4 kinds of seeds. In how…

A: We can use combinations to answer this question. The first row has five kinds of seeds and the…

Q: 100 times 5. Joe has a bag of marbles. In the bag, there are 2 red marbles, 3 blue marbles, 4 green…

A: I have calculated for both 25 and 100 times a marble is choosen. Thank you

Q: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. 1. How many…

A: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. Then, we have…

Q: A 4. If you have 6 shirts and 3 pants how many different outfits can you create?

A: Given problem Given that   If you have 6 shirts and 3 pants. We have to find the different outfits…

Q: Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)?…

A: To determine the number of elements in the given sets under the given conditions

Q: A female executive selecting her wardrobe purchased three blazers, three blouses, and two skirts in…

A: We will solve the following.

Q: w many handshakes are required for a group of 8 people to shake everyone's hand?

A:

Q: Lindsay teaches 4 courses at his small college. The courses are College Algebra, Precalculus,…

A: The number of ways can arrange the College Algebra text books is, 2! The number of ways can arrange…

Q: A sales representative calls on four hospitals in Westchester County. It is immaterial what order he…

A: A sales representative calls on four hospitals. it is immaterial what order he calls on them. We…

Q: At a dance, there are 20 girls and 20 boys. a. How many ways are there to form 20 pairs? b. How…

A: Answer: a)

Q: class has 28 students. In how many different ways can five students form a group for an​ activity?…

A:

Q: Harley collects sports cards. He has 540 football cards and 486 baseball cards. Harley plans to…

A:

Q: How many choices of 5 pocketbooks to read can be made from a set of nine pocketbooks?

A: The combination means a number of ways of selecting some items from the total number of items. For…

Q: Ryan goes to soccer practice everyday. When he walks to the field, he is late 15% of the time. When…

A: From the given para choose the independent events

Q: The college food plan allows a student to choose three pieces of fruit every day. The fruits…

A:

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem. In a…

A: Given information- We have given that a club has 8 male and 16 female members. A 5-member committee…

Q: leanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 5 of…

A: Given information 10 different flowers 5 needs to be selected It is a problem of combination n = 10,…

Q: A classroom has 20 seats and 18 students. (a) How many different ways are there to select any 2…

A: a)Number of ways to select any 2 seats from the 20 available is 20C2 ways = 190 ways