Martha harvested 30 lemons, 25 oranges, and 12 apples from her garden. In how many ways can Martha pick one fruit of each kind for her neighbor Mrs. Robinson? (a.) Martha harvested 30 lemons from her garden. In how many ways can she pick 5 for her neighbor Mrs. Robinson?

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 convention manager finds that she has ​$1,290​, made up of twenties and fifties. She has a total…

A: Let x be the twenty dollar bill and y be the fifty dollar bill. So, total bills = x+y Or, x+y= 42…

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

A:

Q: gel shop has onion bagels, cinnamon bagels, plain bagels, and sesame bagels. How many ways are there…

A: Solution:

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

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: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

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: 2. Nancy is arranging books on her bookshelf. She has 16 books total. She has 6 reference books, 4…

A: Number of books in total =16 Number of reference books =6 Number of fantasy novels = 4 Number of…

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

A: To solve this problem, we have to determine the initial number of cards that each of them have with…

Q: 6. Staggering into his club's cloakroom after a hard evening. Tit saw 6 hats on the shelf. A little…

A: Given :  Staggering into his club’s cloakroom after a hard evening, Tit saw 6 hats on the shelf. A…

Q: Robin has five different cans of paints, three different patterns of wallpapers, and four different…

A: GivenNumber of cans of paints = 5Number of patterns of wallpapers = 3Number of colors of curtains =…

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

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

A:

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A: Given: Jen would like to use the first week in may to visit one city and the first week in June to…

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

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: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: were keychains. He sold of the keychains and 48 bookmarks. He then ve keychains. He sold of the…

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: In a party, there are 10 people with white shirts and 8 people with red shirts; 4 people have black…

A:

Q: You are picking 7 people out of 25 total. How many ways are there to do this if... (a) ...seating…

A: Given that 7 people out of 25 total are selected. a) Seating order matters: Number of ways is…

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: Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11…

A: We have given that - Pat has 9 flowerpots. In garden shop there are 11 types of flower available. We…

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

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: 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: had 3$ my mom gave me 10$ my dad gave me 30$ my aunt and uncle gave me 100$ I had another 7$ . How…

A:

Q: 5. Phyllis sold 85% of the store's pair of sunglasses on Friday. If she sold 51 pairs of sunglasses…

A: Total number of sunglasses sold = 51 pairs Let total number of sunglasses in store be x. Percentage…

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: 3. A baker is getting ready for the holidays by making cookies for everyone to buy. She makes 5…

A: Numbers are the entities used for counting. The numbers used for the counting are called natural…

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: In a very disappointing season, a softball team won only 40% of the games it played this year. If it…

A:

Q: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A: As the student wants the answer of 1 (b), so, I will provide the answer to that part only.

Q: Q1/ A company's board of directors consists of 20 members, in how many ways can a president, trustee…

A:

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

A: first we assume that Adam, Bill and Carl had x, y and z number of cards respectively. now we will…

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

A:

Q: Jack Dossey wears socks of two colours - Yellow and Orange. He has altogether 20 yellow socks and 20…

A: If he pulls 2 socks then he can get 2 yellow or 2 orange or (1 yellow and 1 orange) socks.  So, if…

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: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

Q: Filipino band Ben and Ben is planning to have a grand concert in MOA Arena and decided to play 6…

A: Given that Filipino band Ben and Ben is planning to have a grand concert in MOA Arena and decided to…

Q: The soccer coach purchased 12 pizza for the end of the season party.Altogether,the soccer team ate…

A: Total numbers of pizzas bought by the coach =12It is clearly given that the soccer team ate…

Q: dog's banana tree has 16 bananas, and she wants to share them with her neighbors Beth and Carol,…

A: Fundamental Counting Principle: The fundamental counting rule, commonly termed the basic counting…

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: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A:

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

A:

Q: A bagel shop has onion bagels, cinnamon bagels, plain bagels, and sesame 10) bagels. How many ways…

A:

Q: Some friends went to a movie and purchased 6 bags of popcorn.  Each friend then received an equal…

A: Some friends went to a movie and purchased 6 bags of popcorn. Each friend then received an equal…

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

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.