A pizza parlor offers four sizes of pizza and 14 different toppings. A customer may chooseany number of toppings (or no topping at all). How many different pizzas does this parloroffer?

Q: A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many…

A: GivenA restaurant offersNo.of pizza sizes=4No.of crust ypes=2No.of toppings=8

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: A pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base. How many…

A: Given that Pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base.

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

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: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: A clothing store has a selection of 80 different ties. How many ways can six ties be selected for…

A: It is given that, A clothing store has a selection of 80 different ties. Chris and Alex select 6…

Q: A scholar is choosing six books to take on vacation from a stack of 34. A. How many different…

A: Solution

Q: A pizza parlor offers a choice of 16 different toppings. How many 3-topping pizzas are possible?

A:

Q: A woman has ten skirts and five blouses. Assuming that they all match, how many different…

A:

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: How many ways are there to pick three dipping sauces, if you can pick three of the same?

A:

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

A:

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: A pizza parlor offeres three cheese, two different sauces, and ten different toppings. How many…

A: From the provided information, There are three cheese, two different sauces and ten different…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: A softball league has eleven teams. If every team must play every other team once in the first round…

A:

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: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: Pizza House offers 3 different salads, 7 different kinds of pizza, and 5 different desserts. How…

A: We have given that a Pizza house offers 3 different salads, 7 different kinds of pizza and 5…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: A pizza shop offers 15 toppings. How many different 3-topping pizzas can be formed?

A: Total number of toppings are 15.

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

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: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

A:

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

A:

Q: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. In how many ways can a customer order…

A: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. The number of ways can a customer…

Q: After selecting nine players for a baseball game, the manager of the team arranges the batting order…

A: Given, After selecting nine players for a baseball game, the manager of the team arranges the…

Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: A restaurant offers a choice of 4 salads, 13 main courses, and 6 desserts. How many possible…

A: Permutation and Combination: The different methods in which objects from a set could well be…

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

A:

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

A:

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

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.