A pizza shop has 16 different toppings available for their pizzas. How many different possible topping combinations could be offered, if each pizza contained 3 toppings, and you can't use the same toppings twice or three times on the same pizza (no double or triple toppings, all must be different)?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: A fan of country music plans to make a custom CD with 13 of her 27 favorite songs. How many…

A:

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: A pizza shop has 18 different toppings available for their pizzas. How many different possible…

A: Given: A pizza shop has 18 different toppings available for their pizzas. Each pizza contains 4…

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: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

A:

Q: An ice cream parlor offers 24 different flavors of ice cream. One of its items is a bowl consisting…

A: We have given that there are 3 scoops of ice cream in one bowl where each flavor is different.There…

Q: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different…

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2…

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: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: In a restaurant servers are constantly bringing out beverages to their tables. If a restaurant had a…

A: From the given information,there are three options for soft drinks Coke, Sprite, and Fanta4 people…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

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: How many different baseball bating line ups are possible if the coach wants to put one of the three…

A:

Q: A manager has 4 people that can play any of positions. How many

A: In the given situation, there are 4 people that can play any of positions. That is, there are 4…

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

A:

Q: There are 6 boys and 18 girls in a class. A group of 5 students is needed to work on a project. If…

A:

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A: Given :  A Car seats 5 people, including the driver. You have 8 friends who all need you to drive…

Q: A university student is selecting courses for his next semester. He can choose from 6 science…

A:

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: If there were to be 22 boys and 8 girls at a party and the host wanted each to be given exactly the…

A:

Q: A bag contains 50 red marbles, 20 white marbles, and 30 black marbles. If you select a handful of…

A: There is total 50 red marbles, 20 white marbles, and 30 black marbles.

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-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.