There are 5 boys and 4 girls. How many different ways are there to arrange these 9 persons in a row so that no two girls stand next to each other ?

Q: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

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: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: How many different teams of 4 4 can be chosen from a group of 15 15 children and 17 17 adults if…

A: Given: Number of children = 15 Number of adults = 17

Q: A typist has 5 letters and 5 addressed envelopes. In how many different ways can the letters be…

A:

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

A:

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

A:

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

A:

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: Assume that you have a committee of 15 members, made up of 9 men and 6 women. In how many ways can…

A:

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: An equestrian club has seven members. If the club wants to select a president, vice president, and…

A:

Q: In how many ways can 7 children and 6 mother be arranged in a row so that:  No two children are sit…

A:

Q: How many outfits can be constructed with 1 shirt, 1 pants, and 1 tie from a wardrobe of 2 shirts, 5…

A: The given problem is based on combination {Because order doesn't matter}. The combination of…

Q: In a college football training session, the defensive coordinator needs to have 10 players standing…

A: Given information Total players = 10 1 freshmen 2 sophomore 4 juniors 3 Seniors

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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: How many ways are there to make a committee of 19 board members if exactly 5 must be female?

A: Given Data: The number of female board members is: f=11 The number of male board members is: m=19…

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to select a…

A:

Q: A group contains n men and n women. How many ways are there to arrange these people in a row if the…

A: It is given that the group contains ‘n’ men and ‘n’ women.

Q: A group consists of 6 men and 5 women. Four people are selected to attend a conference. In how many…

A: We have to solve above question and find probability

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done (1…

A: Solution

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: a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice…

A: Given data A club consists of 5 men and 4 women

Q: A boy has 2 red, 3 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a…

A: We have to ans question 1 and 2

Q: There are 6 different books, and we wish to arrange 4 of them in a row. In how many ways can this be…

A: In the given queston we wish to arange four books in out of 6 in a row.

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: A teacher and his eleven students are standing in a single file line waiting to enter the cafeteria…

A: We have given that a teacher and his eleven students are standing in a single file line waiting to…

Q: how many ways to are there for eight men and ten women to stand in a line so that there would be…

A: Consider the given information. Number of ways to arrange tan women can be defined as, 10P10=10!…

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

A:

Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

A:

Q: A committee of 3 men and 2 women can be formed from a group of 10 men and 9 women in nothing…

A: Given a committee of 3 men and 2 women can be formed from a group of 10 men and 9 women.

Q: In a class of 16 students, there are 6 male students and 10 female students. In how many ways can…

A: Note: Since, you haven't mentioned. For which question you would like to get answered. Here we are…