Lauri is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 2 appetizers, and 2 desserts, but she does not have time to cook. She can choose from 18 bottled drinks, 8 frozen appetizers, and 5 prepared desserts at the supermarket. How many different ways can Lauri pick the food and drinks to serve at the bridal shower?

Q: At​ Luigi's favorite Italian​ restaurant, the lunch special has a selection of 7​ appetizers, 4​…

A:

Q: Francesca is planning a bridal shower for her best friend. At the party, she wants to serve 2…

A: Combination Rule: A combination is a selection of all or part of a set of objects, without regard to…

Q: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes.

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: Phyllis teaches marketing at a local college. She wants to select one freshman and one sophomore to…

A: Given info: Phyllis teaches marketing at a local college. She wants to select one freshman and one…

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: Breanna had a basket of apples. She decided to give away ½ of her apples plus 1 to her father, ½ of…

A:

Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

Q: When an ice cream shop was founded, it made 39 different flavors of ice cream. If you had a choice…

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

A:

Q: At the restaurant i 23 Σ π, they have 14 soup, 17 appetizer, 23 salad, 22 entree, and 24 dessert…

A: Given information: At the restaurant, have 14 soup, 17 appetizer, 23 salad, 22 entree, and 24…

Q: Jack Frosty is preparing himself for another potential snowstorm by setting out all of his warmest…

A: given  2 pairs of boots 3 winter hats 3 pairs of gloves 4 jackets He has 2C1*3C1*3C1*4C1 outfit…

Q: David has to choose 5 chocolates from 6 different dark chocolates, 4 different white chocolates and…

A: From the given information,   David has to choose 5 chocolates from 6 different dark chocolates, 4…

Q: At a restaurant you can choose from 3 appetizers, 8 entrees, and 2 desserts. How many different…

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Q: Paul băked, söme chocolafe and strawberry cakes. If he sold 56 chocolate cakes, he would have as…

A:

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

A:

Q: Lina has a China figurine, a glass figurine, and a soapstone bear. In how many ways can she choose…

A: Lina has a China figurine, a glass figurine, and a soapstone bear.

Q: Aiko loves to have friends over for "Sushi night" where she rolls her own sushi based on her guests…

A: Given,Total no.of ingredients=19

Q: A person who doesn't like to be cold in the summertime has seven (7) pairs of flip flops, four (4)…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

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!.…

Q: Maria needs to take three physical education classes in order to graduate. Her college has 12…

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

Q: 8) Last week, Carlie had several rice cakes and 3 granola bars as snacks. The snacks contained a…

A:

Q: At the restaurant i 23 Σ π, they have 21 appetizer, 6 soup, 5 entree, and 20 dessert options.  How…

A: Use combinations, to find the number of ways to select one item in each category. Number of ways to…

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: Within the first 4 months of the year, Vicky was able to serve the following number of burgers: 370,…

A:

Q: The number of ways 3 nurses and 4 engineers can be seated on a bench with the nurses seated together…

A: Number of nurses = 3 Number of engineers = 4

Q: A college team plays 10 football games during a sea-son. In how many ways can it end the season with…

A:

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

A:

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

A: Every van had the same number of students in it as did the buses. Let x is the number of students in…

Q: Juan has three boxes-one red, one white, and one blue. He has 9 different objects. In how many ways…

A: Juan has three boxes-one red, one white, and one blue. He has 9 different objects.

Q: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

A:

Q: At the restaurant i 23 Σ π, they have 6 appetizer, 5 soup, 15 entree, and 10 dessert options.  How…

A: The restaurant have  have 6 appetizer, 5 soup, 15 entree, and 10 dessert options. The unique…

Q: Julian owns 5 pairs of pants, 2 shirts, 2 ties, and 8 jackets. How many different outfits can he…

A: Given that he must wear one of each items so first we have to find the number of ways of wearing…

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: Given (1) Gummy candy packets come in  sizes=5  (2)packets of licorice nibs come in sizes= 4

Q: At the grocery store, Derek has narrowed down his selections to 3 vegetables, 6 fruits, 7 cheeses,…

A: Introduction:Combination:Suppose there are n distinct items in a population. From these items, r…

Q: For her English literature course, Ruchika has to choose one novel to study from a list of ten, one…

A: Given that there are 10 novels, 15 poems, 7 short stories.  So she can choose a novel in 10 ways, a…

Q: The elective courses for next year are gym, shop, art, consumer science, criminal justice, and…

A:

Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

A:

Q: Chandra has 10 pieces of jewelry in her jewelry case, and she wants to take four pieces with her on…

A: To find: In how many ways can she select the jewelry for her trip?

Q: Three students, Josiah, Hudsonand Giannaline up one behind the other. How many different ways can…

A: There are 3 people, n= 3 And there are 3 places where they can stand. r= 3

Q: sammy was babysitting and took the kids to McDonald’s. She ordered a chicken sandwich for herself…

A: Follow the procedure given below.

Q: The Shepard family--Jake, Jena, Jamie, and their mother--ordered two pizzas. Jake ate of one pizza…

A: Number of pizza  ordered = 2 Jake ate 2  of a pizza               3  Jenna ate 1  of a pizza…

Q: A restaurant manager wants to purchase 200 sets of dishes. One design costs ​$15 per​ set, while…

A:

Q: Aisha is picking out some movies to rent, and she is primarily interested in children's movies and…

A: different combinations of 3 movies can she rent if she wants at least one comedy=  Total no. of…

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a…

A: For Teachers, offer is for every five hardcover books, he/she gets two paperback books. Ms. Baldwin…

Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress…

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds…

Q: Dwight is packing for a vacation. He is deciding which books to bring. He wants to bring one book…

A: Given :  Science fiction=3 Business ethics=10 Beet farming=9 Our aim is to find the unique…

Q: Stephanie bought 14 plants to arrange along the border of her garden. How many distinct arrangements…

A: There are 14 plants which is going to be arranged in the manner that plants are comprised of 6…

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.