(a) One in which there are five spades, four hearts, three diamonds, and one club. (b) One in which there are five spades, four hearts, two diamonds, and two clubs. (c) One in which there are five spades, four hearts, one diamond, and three clubs.

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A: There are 5 types of flowers. 16 flowers have to be picked with the only restriction being that no…

Q: 16. You go to Baskin Robins to buy an ice-cream. If you have 3 kinds of cones, 31 flavors, 8…

A:

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

A:

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt one jack and…

A: Given that four cards are dealt from a standard deck of 52 cards. We have to find the number of ways…

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: A theater has 29 rows of seats. The first row has 22 seats, the second row has 26 seats, he third…

A:

Q: When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible…

A:

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: Molly is making peanut butter cookies. To make a batch of cookies she needs 3/4 cups of peanut…

A:

Q: How many ways are there to stack an​ ice-cream cone with 4 scoops if the choices are   a. peppermint…

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Q: Amy is arranging 11 cans of food in a row on a shelf. She has 4 cans of peas, 1 can of carrots, and…

A:

Q: 5.Francis wants to buy ten different books, but he only has money to buy four. How many different…

A: 5) Combinations: The combination is a mathematical technique which tells the way of selecting items…

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: a) 2 white balls b) 2…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   6 red balls  4…

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: dog shelter giving away 19 different dogs, but you have room for only 4 of them. How many different…

A: Given data,No of different dogs n=19you have room for only 4 of them r=4How many different dog…

Q: 50% of the audience at a play was boys. The rest was girls. There were 300 boys and girls at the…

A:

Q: 6. You have a pool of 9 women and 16 men, and you need to form a 12-member team made up of six men…

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

Q: Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is…

A: Given that, Mrs. Cho has 24 students in the class. Now, calculate the number of student representing…

Q: A company is choosing their top four officers: CEO, COO, CFO, and CIO. If they have 7 people to…

A:

Q: Honey’s Store has a number of bikes and tricycles for sale. There are exactly 60 wheels all…

A: Let x be the number of bicycles and y be the number of tricycles. Each bicycle has 2 wheels…

Q: In each of the parts below, the coins available are half-dollars, quarters, dimes, nickels, and…

A: This question can be solved using permutation and combination.

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: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: A paper factory needs to ship an order for 3,200 sheets of yellow paper. The factory will put 40…

A: Number of sheets of paper = 3200 Number of sheets in a box  =     40 Number of boxes needed for 3200…

Q: In the fifth grade at Lenape Elementary School, there are 4/7 as many girls as there are boys. There…

A: The provided information is The ratio of girls and boys is=4:7 Let (x)=4x,7x Boys=66 Then, value of…

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

A:

Q: To select a stir-fry dish, a restaurant customer must select a type of rice, protein, and sauce.…

A: From the provided information, The restaurant offers two types of rices, three proteins and seven…

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

A: In this question a company that makes crayons is trying to decide which 5 color to include in…

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: 3. You are setting out 30 cans of drinks for a party. There are six types of drinks, and one type is…

A:

Q: . Beth has 8 friends. How many ways can she invite one or more of them to dinner?

A:

Q: different outfits does he have if he always wears trousers with a shirt, a jacket, a tie, and a pair…

A: Given that  Mike has Pairs of trousers = 7 Shirts = 16 Jackets = 4 Ties = 18 Pair of shoes = 5 We…

Q: When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible…

A: (a) Given, When playing Yahtzee, you roll five regular 6-sided dice.

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

A: There are 20 choices for the color, and comes with or without a sidecar, with or without phone…

Q: You are purchasing 16 bagels from the bagel store and only the type of bagel matters (so bagels of…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: On Saturday, you bowl at Cherry Hill Lanes, where renting shoes costs $2 and each game bowled is…

A: Given  On Saturday Each game cost =$3.50  and renting shoes costs = $2 y=3.50g+2 ..(1) On Sunday…

Q: Andie has a blue sweater, a red sweater, and a purple sweater. She has a white shirt and a tan…

A: Our objective is to find in how many different ways can she wear asweater and a shirt together.

Q: On a business retreat, your company of 28 executives go golfing. a. You need to divide up into…

A: Solution:   The total number of distinct ways of arranging the letters of the word of length N…

Q: 9 books in a row on his bookshelf. He will put one of the books, Hamlet, in the first spot. He will…

A: Given Data: Total books: n=9 First spot: One book, Hamlet Last spot:  One book Macbeth   In the…

Q: There are 56 books in the school library how manty books are fiction books

A: Let the number of non-fiction books be x . Then the number of fiction books=    Since, there are 56…

Q: Magellan has decided to make party baskets for the fund raiser. Balloons are sold in bags of 20,…

A:

Q: From a group of 10 men and 12 women. How many committees of 5 men and 6 women can be formed?

A:

Q: 3. THINKSMARTER At Luke's school party, the children make teams of 5 to play a game. If there are 20…

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Q: You are planning to plant one durian, one rambutan, one mango and one avocado tree in your garden.…

A: Given that  Plants need to plant Types available in nursery Durian = 1 Durian = 2 Rambutan =…

Q: In a mathematics​ class, students received an A on the third​ test, which is ​% of the students who…

A: Step 1

Q: A school class is holding a raffle and 10 prizes are to be awarded. One hundred twenty people enter…

A: Solution is in next step

Q: You would like to​ "build-your-own-burger" at a​ fast-food restaurant. There are nine different​…

A:

Q: Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many ways…

A: The permutation is used to calculated the number of arrangement in an ordered way, it is denoted as…

Q: 2. In a wedding, a photographer is taking a group picture of 6 people in a row. In how many ways can…

A: Here use concept of total arrangement  There are total 6 people

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.