A vendor sells ice cream from a cart on a sidewalk in downtown Flagstaff, Arizona. He offers 4 different flavors (vanilla, chocolate,...) served on 3 different cones. How many different single-scoop ice-cream cones can you buy from this vendor? Your answer is

Q: A street vendor sells six different kinds of fresh fruit: apples, bananas, oranges, pears, kiwis and…

A: Given that , a street vendor sells six different kinds of fresh fruits each worth $1. To find the…

Q: A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window…

A: A dress-shop owner has 8 new dresses.  She wants to display in a window which has 5 mannequins.  So…

Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

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: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

A:

Q: john has 10 apples and kate took 5 away how many apples are left?

A: When kate take you are subtracting.   John  originally had 10

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Mark is working at a manufacturing company of cars and he is tasked to assemble a car. He has the…

A: Given that  Mark is working at a manufacturing company of cars and he is tasked to assemble a car.…

Q: Mrs. Walton bought 2 small, 1 medium, and 1 large orange drinks at the Sunshine Orange Palace for…

A:

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

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: 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: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: A s'more requires 2 graham cracker squares, 1 marshmallow, and 3 chocolate pieces. If an entire…

A: A s'more requires 2 "g c squares", 1 marshmallow, and 3 chocolate pieces. Now, we have 8 chocolate…

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

A:

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: A local sporting goods store is celebrating its grand opening by giving a free t-shirt to every 5th…

A:

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

A:

Q: How many different bowls of ice cream can you make with 6 flavours and 5 scoops such that you have…

A: Given: Number of flavors=6 Number of scoops=5

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 5 different desserts. How…

A: A 3-course meal has to have 1 salad, 1 pizza and 1 dessert. We have 2 choices for salad We have 2…

Q: In a class of 6 girls and 5 boys, how many seating arrangements can be done

A: There are 6 girls and 5 boys in a class The seating arrangements type is  GBGBGBGBGBG So,  6!*5!…

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

A:

Q: es. u go to the cafeteria for lunch and have a choice of 4 entrees, 5 sides, 5 drinks, and 4 =serts.…

A: Given choice of 4 entrees, 5 sides, 5 drinks,  4 desserts.

Q: Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b)…

A:

Q: An ice cream shop has 15 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a…

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

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: Apollo Spas services 242 hot tubs. If each hot tub needs 125 mL of muriatic acid, how many liters of…

A:

Q: A bag contains 15 plastic eggs, each with a different prize. Trevor picks out 3 of the eggs. How…

A: Given that, Bag contains 15 plastic bags. Trevor picks out 3 of the eggs How many different sets…

Q: Ben is studying photography, and he was asked to submit 6 photographs from his collection to exhibit…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Ben has 15…

Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

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

A: To calculate the total number of ways to take an ice-cream cone with 4 scoops if the choices are…

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes. how many different outfits…

A: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes.

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: if Jake got 5 apples and Katie takes away 3 how many apples will he have

A: To calculate the number of apples left with Jake.

Q: An ice-cream shop offers 3 types of cones, 20 flavors, and 4 different toppings (crushed peanuts,…

A: Here, the customer chooses from 3 types of cones, 20 flavors, and 2 different toppings. Because,…

Q: You baked seven cupcakes of different flavor. In how many ways can you  give two cupcakes each to…

A: Here Given  Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

Q: A pizza shop offers mushrooms, pepperoni, and onion for their pizza topping and 1 type of cheese.…

A: The number of ways of selecting r objects from n objects can be given by evaluating the expression .…

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: One third of the cars available for sale in a dealership are used cars. If there are 20 new cars,…

A: 1/3 rd of cars x = used cars   New or unused cars = 2/3 x

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A:

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

Q: A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4…

A:

Q: At a deli counter, there are 7 sandwiches with meat and 10 vegetarian sandwiches. Milan is at the…

A:

Q: Dustin bought 12 plants to arrange along the border of his garden. How many distinct arrangements…

A: GIVEN: Total plants = 12 Tulips = 3 Roses = 4 Daisies = 5

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.