8. There are 18 students in a class. Sam and Kate must sit next to each other in the front row. If there are 9 seats in the front row, how many ways can the teacher assign the seats?

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: Your family is considering purchasing a new car. The dealer has given a list of choices that need to…

A: given data  list of choices for car: interior may be made of cloth or leather : n1 = 2 colour of…

Q: Sandra is writing an article and taking pictures for the school newspaper. She chooses three…

A:

Q: 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…

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

Q: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

Q: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…

A: We have given thatSeat of 12 people Number of men = 6Number of women = 6

Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…

A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3  STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…

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: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be…

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

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: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: 1) A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A:

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

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 group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

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

A:

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: The security department has 6 employees. Four of them won't have to work on Thanksgiving day. How…

A: No. of employees in a security department(n)=6No. of employees that the supervisor wants to select…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A: