A certain ice cream parlor offers ten flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.   In how many ways can you choose a cone if it matters which flavor is on top, which is in the middle and which is on the bottom?   The number of ways to choose a cone, if order matters, is

Q: Suppose we want to choose 2 objects, without replacement, from 3 objects pencil, eraser and desk .…

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Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U,…

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Q: a medical salesperson is to visit the various members of the staff at a clinic. he must see 8…

A: Given, Salesperson must see  8 doctors 6 physicians Assistant, 12 nurses 3 medical technologists 3…

Q: When ordering a certain type of computer, there are three choices of hard drive, four choices for…

A: when ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

Q: suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Let pencil be p, eraser be e, desk be d, and chair be c a) without changing order of choices:…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Let a, b, c, d, e be the different kinds of cake known. Let x, y, z be the 3 different types of…

Q: How many ways are there to stack an ice-cream come with 4 scoops if the choices are pistachio,…

A: The choices are pistachio, peach, cherry, walnut, peanut butter, and raspberry. That is 6. I scoop…

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

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

A:

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: There are 12 cans of fruit and 8 cans of vegetables on a shelf at the food pantry, and you are a…

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Q: Suppose for your afternoon snacks, you may select juice, milk tea, or soda for your drinks. You also…

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Q: I bought a bunch of gumdrops, jellybeans, and mints. Each were in yellow, blue, and white. I bought…

A: There were total of   after sometime the number of candies were as follows   Gumdrops  Jelly…

Q: At the Athens House of Pizza the House Special is a pizza where the customer chooses the type of…

A: The objective is to find out number of different House special pizzas possible.

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: (a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Your are ordering bags of jelly beans to make jelly bean soup. Each bag contains 12 jelly beans, and…

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Q: When an ice cream shop was founded, it made 37 different flavors of ice cream. If you had a choice…

A: Given- When an ice cream shop was founded, it made 37 different flavors of ice cream. If we had a…

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: To find out the possible CD-R's

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: A certain ice cream parlor offers twenty flavors of ice cream. You want an ice cream cone with three…

A:

Q: There are 2 Sci-Fi books, 3 Romance books and 4 Horror books to be arranged on a shelf. How many…

A: Given data : Sci-Fi books = 2 Romance books = 3 Horror books = 4 a. If there are no restrictions.…

Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (a)…

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Q: A company has 14 employees, and wants to create a team of 4 employees to work on a new project. The…

A: Combination formula is given by

Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A: 2. There are 4 people Dylan,Andrew,Hailey and Jordan Here The places are also 4 The race are start…

Q: Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk,…

A: Solution: From the given information, there are 5 objects and 2 objects are to be chosen at random.

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 3. The number of types…

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: A medical salesperson is to visit the various members of the staff at a clinic. He must see 8…

A: It is given that the sales person must see 8 doctors, 6 physicians assistants, 12 nurses, 3 medical…

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

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…

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Q: how many hands of 33 cards can be made, where all cards are of the same suit?

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Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A basketball coach is deciding on his starting five players. He has a roster of ten players to…

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Q: A donut shop has 5 varieties of donuts and we want to order 10 donuts. But today, among their 5…

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Q: At a fine dining restaurant, the "Ultimate Dining Experience" allows the customer to select a glass…

A: There are 5 choices for a glass of wines, 5 choices for appetizers, 3 choices of salads, 9 choices…

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: (a)   Determine the number of ways that the 3 objects can be selected from 4 objects without…

Q: An English class consists of 28 students, and five are to be chosen to give speeches in a school…

A:

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

A: For flavours must be different then once used flavour can't be used next time. So in first stack we…

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

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.