In how many ways can a row of three contestants for a TV game show be selected from an audience of 358 people?

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: In how many ways can 5 men and 3 women be arranged in a row if no two women are standing next to one…

A: Number of men in the row is 5. Number of women in the row are 3.

Q: In how many ways can a boy arrange his 5 different toys in a row?

A: Given that : To find In how many ways can a boy arrange his 5 different toys in a row?

Q: Six people are about to enter a cave in a single row. In how many ways could the arrange themselves…

A: Given: Six people are about to enter a cave in a single row

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A: Given that In how many ways can two admirals, three generals, and four lieutenants can be seated in…

Q: How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain…

A: We can use permutations to find the solution to this problem. The number of permutations in a set of…

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

A:

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

A:

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

A:

Q: In how many ways can 8 students be seated in a row if three particular students must always be…

A: Given information :- In how many ways can 8 students be seated in a row if three particular students…

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 six men and five women be arranged in a row if no two women is standing next to…

A: Given,no.of mens=6no.of womens=5total no.of peoples=11

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: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

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 a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

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

A:

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in…

A: Given Information: 5 brands of soda are to be displayed on a supermarket's shelf.  It is needed to…

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

A:

Q: Hello. How do I set up and work out this problem?

A: Given information:The total number of balls is 8.The number of black balls is 4 and the number of…

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: In how many ways can 8 students be seated in a row if two particular students must never be seated…

A: In the given problem we have to  find in how many ways can 8 students be seated in a row if two…

Q: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

A:

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

A:

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 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes, in…

A: a. Four piles of 13 cards are needed to be selected.  First 13 cards can be selected from 52 cards…

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: In how many ways can 3 men and 3 women arrange themselves in a row for picture taking if the men and…

A: Given: Number of men is, M=3. Number of women is, W=3. The objective is to find the number of ways…

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: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

A: Givenno.of audience =364

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many ways can four of the letters of the word MAILBOX be selected and written in a row if the…

A:

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…

Q: With a group pf five men and five women, how many ways can they be arranged in a row if men and…

A: Given that  Number of women = 5 Number of men = 5

Q: In how many ways can a committee of four be chosen from five married couple if the committee must…

A: Five married couple that means number of men = 5 and number of women = 5  Here given condition…

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.