In how many ways can a group of 5 students be picked from a class of 14 students to represent the class at a meeting? Answer:

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

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

A: Follow the steps.

Q: 2 students is to be chosen from a 32-member class to represent the class on the student council. How…

A: Permutation: The procedures of permutation and combination are used to count the number of…

Q: A group of 4 students is to be chosen from a 30-member class to represent the class on the student…

A:

Q: How many different committees with 4 members can be formed from a group of 9 students? (Order is not…

A: The information provided in the question are as follows :-Total number of students andNumber of…

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

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

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: There are 12 different types of chocolate candy entered in a chocolate-candy-tasting-contest. How…

A: Given,Total number of chocolate candy, n = 12We need to find the number of ways are there to choose…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

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.