Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four different styles of jacket for Sunwoo for the summercamp next week if he cares about which day of the week he’d  wear each style?

Q: In how many ways will Namjoon get a pair of polka dots?

A: here given, In Namjoon’s drawer, there are 7 identical pairs of purple socks that is 14 socks , 10…

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: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

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

A:

Q: In how many ways can you seat 2 children and 5 adults in a row if the children must be seated at…

A: Given: In how many ways can you seat 2 children and 5 adults in a row if the children must be seated…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

A:

Q: Laura’s soccer team played a good season, finishing with 12 wins, four losses, and two ties. In how…

A: We have given that  Laura’s soccer team played a good season, finishing with 12 wins, four losses,…

Q: Sunwoo’s closet has 18 different styles of jacket. In how many ways can Eric pick out 7 different…

A: Total number of Jackets = 18  Eric need to pick 7 different styles, this can be done in 18C7

Q: Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller has…

A:

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

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: When a group of 25 students are surveyed: 6 likes ice cream 12 likes hotdogs 15 like burgers One…

A: Provided information is ; Consider ; S = Total number of students  n(S) = 25 A : student likes Ice…

Q: When an ice cream shop was founded, it made 37 different flavors of ice cream. If you had a choice…

A: Given- When an ice cream shop was founded, it made 37 different flavors of ice cream. If we had a…

Q: Al Jebra is ordering his new bicycle from Brenda's Bike Boutique.  Al knows that he wants the Grand…

A: Given, The grand touring model has 13 different choices of colors with or without a sidecar, with or…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many diff ways can…

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

Q: Consider a basket with 5 apples and 4 strawberries. In how many ways can you collect three apples…

A: Ans

Q: A tailor owner has 10 new pants that he wants to display in the window. If the display window has 4…

A: The number of new pants are 10.

Q: The New Shanghai Restaurant offers a choice of two appetizers, five choices of soups, and twelve…

A: From the provided information, The restaurant offers a choice of two appetizers, five choices of…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag stamps, how many stamps…

A: In question, Given that 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag…

Q: At the flower shop, Maggie is making a bouquet from asters, dahlias, irises, roses and…

A: Maggie needs to form a bouquet consisting of 9 flowers, taking flowers out of 5 given types of…

Q: At a local pizza shop, they are running a "5 topping special." In have many ways can 5 pizza…

A: Given: Number of available toppings, n=14 The objective is to find the number of ways in selecting 5…

Q: An advertising manager decides to have an ad campaign in which 8 special calculators will be hidden…

A:

Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: A girl owns 1 pairs of pants, 7 shirts, 2 ties, and 8 jackets. How many different outfits can the…

A: Given that Pants=2 Shirts=7 Ties=2 Jackets=8  Total diffrent outfits=2*7*2*8 Total different outfits…

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

A: We have to select 5 mini-box colors  from the collection of 70 colors. Since, we know that selection…

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

A:

Q: The Hernandez family is selecting a furniture set. A furniture set has a bed, a desk and a dresser.…

A: Solve

Q: 19 members is to choose three officers

A: Given that  A club with 19 members (n) = 19 we have to choose 3 officers President, vice president,…

Q: There are 7 women and 6 men signed up to join a ballroom dance class. In how many ways can the…

A: Given: Number of men = 6 Number of women = 7 Number of people to join dance class = 4

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: An appliance store carries 9 types of washing machines and 5 types of dryers. A shopper comes in and…

A: Total number of washing machines = 9 Total number of dryers = 5

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

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

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: Given 1 box = 48 chocolate Groups of 11 to be put

Q: The Choi family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: Explained below

Q: Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class…

A: Given that  Mr Regpala needs the help of 6 students from the class to help him move some supplies…

Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

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

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

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: You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many…

A: There is total 4 persons.

Q: A boy owns 2 pairs of pants, 7 shirts, 4 ties, and 5 jackets. How many different outfits can he wear…

A:

Q: eam. If you had a choice of having a single flavor of ice cream in a cone, a cup, or a sundae, how…

A: apply combination

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.