A department store manager wants to display 6 brands of a product along one shelf of an aisle. In how many ways can he arrange the brands?

Q: How many bags of 25 pieces of candy can one buy from a store that sells four types of candy?

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Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

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Q: A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces. How many different…

A: Given data A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: How many glasses would be left over if you arranged the glasses in rows of 24? Explain your…

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Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

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

A: topic - permutation and combinatation

Q: Boris must choose a shirt and a pair of pants for today's outfit. He has  3  shirts and  3  pairs…

A:

Q: There were 3-wheel ATV’s and 4-wheel ATV’s at the fall of road exhibition. Justin counted a total of…

A: Make linear equations in two variables accordingly to the question.

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How…

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Q: Ms. Tobin is arranging her colored pencil collection in the classroom. She has 24 pencils and needs…

A: Given, Tobin has 24 pencils, out of which 10 put in a bucket and other 14 put in a box.

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

A: Permutation formula: nPr = n!/(n-r)!

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

Q: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

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Q: Joe, Megan, and Santana are salespeople. Their sales manager has 18 accounts and must assign six…

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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 a college football training session, the defensive coordinator needs to have 10 players standing…

A: Given information Total players = 10 1 freshmen 2 sophomore 4 juniors 3 Seniors

Q: Marissa's cycle repair shop fixes normal bicycles and tricycles. Marissa had to assemble a number of…

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Q: A lady has 4 dresses and she want to bring 2 of them with her on the trip. How many ways to choose 2…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: Sarah needs to order 450 clips , if the binder clips comes in boxes of 15 how many boxes should…

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Q: Deandre is arranging 11 cans of food in a row on a shelf. He has 7 cans of carrots, 3 cans of beans,…

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Q: bag of lollipops is shared among a group of children, where each child receives 10 lollipops. 6 more…

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Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

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.