How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will not sit next to each other ?

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: If there are four (4) students namely: karen, maxine, grace, and minie. How many different seating…

A: Given, The four students are karen, maxine, grace, and minie.  We have to find the number of…

Q: Busi's dog gives birth a litter of six puppies, of which 3 are female and 3 are male. Busi wants to…

A:

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find  how many stacks…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: A simple linear regression that describes the effect of individuals’ cigarette smoking on health is…

A: Introduction: The regression coefficient depends on the change of scale of the response, as well as…

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

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

A: Given data,No of freshman=1No of Sophomores=2No of Juniors=4No of Seniors=3How many different ways…

Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

Q: Six people attend the theater together and sit in a row with exactly six seats. Suppose the group…

A: Given,no.of men =3no.of women=3total no.of people=6

Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

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: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

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

A:

Q: Ten honors students, each from a different high school in a county are lined up in two rows of five…

A:

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: You are forming an 9-member swim team from 13 girls and 16 boys. The team must consist of five boys…

A: We have given that that 9-member swim team from 13 girls and 16 boys  The team must consist of five…

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

A:

Q: Apolice department in a small city consists of 10 officers. If the department policy is to have 5 of…

A:

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

A:

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

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

A:

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: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…