16. A teacher will ask the first student that arrives to class to hand out papers, the second student to take attendance, and the last student to collect homework. If there are 16 students in the class, how many different ways can these class roles be assigned?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

A: Given,total no.of people=9

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: We have given that, from 25 employees we have to select 1 team leader and 3 team workers. First we…

Q: In how many ways can an adviser assign a different task to 9 students from a class of 15?

A: Here we need to assign a different task then we would use combination.   Combination formula: C(n,r)…

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

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

Q: c) There are 18 boys and 13 girls in an English class. During class, there is time for 6 students to…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: 8. There are 18 students in a class. Sam and Kate must sit next to each other in the front row. If…

A: Number of students in a class = 18 Number of rows in the front seat = 9 Sam and Kate must sit next…

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

A:

Q: How many ways can the positions of president and vice president be assigned from a group of 8…

A: There are two positions (i) President (ii) Vice president One person can hold only one position. So,…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

A:

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: A company has hired 24 new employees, and must assign 10 to the day shift, 9 to the evening shift,…

A: The question is about counting Given : Total no. of employees = 24 No. of employees assign to day…

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: The top two students in the grade 12 mathematics' class are to receive awards for the highest mark…

A:

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

A:

Q: Assume that there is a group of 13 students making presentations on 3 issues: parking fees,…

A:

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…

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.