During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of seven free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected?

Q: There are eight performers who will present their comedy acts this weekend at a comedy club. How…

A: Arranging n items is found by n! ways...

Q: How many different groups of software packages can be selected

A: It is given that there are a total of 8 different software packages and a customer purchasing a…

Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

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

A:

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: A person going to a party was asked to bring 5 different bags of chips. Going to the store, she…

A: From the given information, There are 18 varieties. A person going to a party was asked to bring 5…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: in a qualifying race for a road cycling event, 15 men competed for five slots.How many different…

A: Given The total number of men (competed)=15 The number of slots=5 Apply permutation formula…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: There are four performers

A: number of performer = 4 so if n performer is their then number of arrangements are n! n! =…

Q: At the Harris Burger Bar each customer designs their own burger by choosing: one from two types of…

A:

Q: There are 8 performers who are presenting their acts at a variety show. How many different ways to…

A: We can pick the first performer in 8 ways. Second in 7 ways. Third in 6 ways. Fourth in 5 ways.…

Q: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?

A: Given A musician plans to perform 9 selections

Q: A lamp manufacturer designed five lamp bases and four lampshades that could be used together. How…

A:

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It is given that the total number of software packages is 10and the number of free software packages…

Q: A doughnut shop has a special on its mix n match selection, which allows customers to select three…

A: Given: A doughnut shop has a special on its mix n match selection. Varieties of doughnuts: plain…

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: How many ways are there to select four pieces of fruit from a bowl containing apples, oranges,…

A: Observe the total numbers of ways  k distinct things form a set of n things is given by nk. Now…

Q: In a new subdivision, the builder offers some customization options. There are 4 options for the…

A: We have to find no. of combinations possible.

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: From the provided information, A customer purchasing a computer and printer is given a choice of…

Q: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

A:

Q: how many arrangements can be made from the word "HEADSTRONG"

A: The given word is HEADSTRONG

Q: There are 12 qualified applicants for 5 trainee positions in a department store. How many different…

A: Given There are 12 qualified applicants for 5 trainee positions in a department store. This problem…

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: Given that,  A customer purchasing a computer and printer is given a choice of five free software…

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: A person going to a party was asked to bring 4 different bags of chips. Going to the store, she…

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

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: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: A pizza parlor offers a choice of 15 different toppings. How many different 3-topping pizzas are…

A:

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

A:

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: How many arrangements are possible with 7 letters chosen from LAUREL MISSISSIPPI?

A: We have to find no of ways..

Q: A college plans to interview 8 students for the possible offer of graduate assistantships. The…

A:

Q: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: The math club wants to choose a committee to plan the back to school party. How many 3 person…

A: Solution: Total members= 32 We want to find Number of possible leadership committees.

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: How many distinguishable ways can 3 people be seated around a circular table?

A: The answer is 3! = 6 different ways of  placing these three people in three distinct positions.

Q: As a television executive, you have been given 19 shows to choose from to run during your prime time…

A:

Q: There are six performers who will present their comedy acts this weekend at a comedy club. How many…

A: Topic:- permutation and combinations

Q: Pizza Hut has four different size pizzas. If there are 24 different toppings, how many single…

A: Given that there are 4 different size pizzas and 24 different toppings. Size and toppings are…

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It has been given that there are 8 different software packages. Thus, n = 8 A customer purchasing a…

Q: A person going to a party was asked to bring 5 different bags of chips. Going to the store, she…

A: Given : A person going to a party was asked to bring 5 different bags of chips. Going to the store,…

Q: The math club wants to choose a committee to plan the back to school party. How many 5 person…

A: Here we need to find the number of possible ways in which we can form a committee of 5 members from…

Q: The car you are interested in has 16 color options, 3 engine choices, and 6 entertainment system…

A: Given ,  The car you are interested in has 16 color options , 3 engine choices , and 6 entertainment…

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.