Al's Appliances employs ten salespersons. To motivate sales, the store is going to award prizes to the top three salespersons of the month. First prize is a stereo system, second prize is a personal MP3 player, and third prize is an alarm clock radio. In how many ways can these prizes be awarded?

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: What is the probability that the year will be actually warm if the expert said: “will be warm”? b.…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART PLZ REPOST FOR REMAINING WITH NOTE I NEED…

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

A:

Q: Q2) A club has 20 member a) In how many different ways could the club choose a president and a vice…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and…

A: (a) The shop has 7 types of croissants.So n = 7. To choose one dozen croissants, so r =…

Q: A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires20 minutes of…

A: Let the clothing manufacturer makes x trousers, y skirts and z blouses. Balancing the cutting time:…

Q: A junior executive looking at his business attire in his closet notes that he has five suits, six…

A: Given, A junior executive has five suits, six shirts, and three pairs of shoes. He is going on a…

Q: A boy owns 6 pairs of pants, 9 shirts, 10 ties, and 4 jackets. (a) How many outfits can he wear to…

A: Given data:     The given pairs of pants are: P=6. The given number s of shirts are: S=9. The given…

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

A:

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

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

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: 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: I bought a bunch of gumdrops, jellybeans, and mints. Each were in yellow, blue, and white. I bought…

A: There were total of   after sometime the number of candies were as follows   Gumdrops  Jelly…

Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they be…

A: From the provided information, There are 5 person which form a musical band. There will be 5! ways…

Q: This year, I am the adviser of a 42-member local chapter of the National Mathematics Honor Society.…

A: topic - permutation and combinatation

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 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: 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: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 4…

A:

Q: a candle company sells individual candles, boxes with 8 candles, or containers with 15 boxes. At the…

A: Given:The number of candles in a box is 8.The number of box in a container is 15.At the beginning,…

Q: A sixth grade class is having a pizza party. The teacher ordered 5 cheese pizzas, 5 pepperoni and 5…

A: Fractions are used to symbolize a part of a whole.

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

A:

Q: In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in…

A: Let A = set of persons who got medals in dance.Let B = set of persons who got medals in…

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: An international car manufacturer offers its best selling model in 6 colors, 2 types of seats…

A: Solution-: Given: Best selling model cars=6 Type of seats (leather or vinyl)=2 number of engine =3…

Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 3…

A: Given that Adam, Bill and Carl had some trading cards. Bill had 12 as many cards as Adam.  After…

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

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: A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets. (a) How many outfits can he wear to…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A girl has 9 skirts, 4 blouses, and 6 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: 5) Given that the girl has 9 skirts, 4 blouses and 6 pairs of shoes. Total number of ways 9+4+6=19…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: At a charity benefit with 33 people in attendance, three $50 gift certificates are given away as…

A:

Q: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take…

A:

Q: A box of Mrs. Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How many…

A: Given,no.of donuts honey dipped=8no.of bavarians donuts=6no.of chocolate donuts=7

Q: A chain of convenience stores has 4 warehouses and operates 35 retail outlets. In how many different…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: - The senior classes at High School A and High School B planned separate trips to the county fair.…

A:

Q: Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32…

A:

Q: A stack of medicine boxes displayed in a drug store has 10 boxes in the bottom row, 8 boxes in the…

A: For 1 stack : Number of Boxes in the Bottom Row ( let's say Row 1) =10 Number of Boxes in the second…

Q: An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. a. In how…

A: Given that, An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and12…

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: Q2) A club has 20 member a) In how many different ways could the club choose a president and a vice…

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

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: _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: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

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

A:

Q: Mrs Thomas baked 3 types of cookies for sale. She baked 24 more walnut cookies than cashew nut…

A: We can find the required answer as below.

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.