This problem involves combinations. In how many ways can ten people be chosen from a group of sixteen? ways

Q: In how many different ways can five teaching assistants be assigned to five sections of a course in…

A: It is given that 5 teaching assistants have to be assigned for 5 sections of a statistics course.…

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: In how many ways the letters in the word "school" be arranged?

A:

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: In how many ways can two cards be drawn from a deck of cards?

A: Given that  Total number of cards=52 2 cards are drawn  Find the number of ways

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

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: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be…

A: Permutation is the method that used to measure the number of arrangement in the data set. In this…

Q: In how many ways can a hand of 9 diamonds be chosen from an ordinary​ deck?

A: There are total 13 diamonds in a pack of 52 cards9 diamonds be chosen in 13C9 ways.Required…

Q: In how many ways can a committee of 2 be chosen from 7 people?

A:

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a)   Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

A:

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: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pairs of pants, and 3…

A: We have given that,  Shirts = 8 , pairs of pants  = 10 and pairs of socks = 6

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

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: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: In how many ways can 6 bicycles be parked in a row?

A:

Q: How many ways can a softball coach fill in the first, second, and third names in a batting lineup if…

A:

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

A:

Q: How many ways can a teacher choose 3 out of 8 students for a field trip?

A: Need to find the number of ways a teacher choose 3 out of 8 students for a field trip.Choosing r…

Q: In how many ways can Janice arrange 6 potted plants in a row?

A: Number of plants = 6

Q: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: In how many ways can a group of 6 students be selected from 7 students?

A:

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: In how many different ways can six books be arranged on a shelf?

A:

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: In how many ways can the letters in the word ARGOS be arranged?

A:

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: How many ways are there to draw a heart or queen from a standard deck of 52 cards?

A: Given that 52 cards

Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

A:

Q: In how many ways can five pictures be selected from a group of nine different pictures?

A:

Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: In how many ways can three hearts be drawn from a deck of cards? (Order is not important.) _____…

A: Given: There are 13 hearts in total

Q: In how many ways can a student select 7 out of 10 questions to work on an exam?

A: Given that, The total number of question to work on an exam is, n=10 The student select number of…

Q: how many ways can a group of 4 boys be selected from 9 boys?

A: We have to select 4 boys from 9 boys

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: In how many ways can 11 people be seated in a round table with 8 seats?

A:

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A:

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.