At a music festival, there are eight bands scheduled to play, numbered 1 through 8. a. How many different ways can these bands be arranged to perform? b. If band 7 is performing first and band 2 last, then how many ways can their appearances be scheduled?

At a music festival, there are eight bands scheduled to play, numbered 1 through 8. a. How many different ways can these bands be arranged to perform? b. If band 7 is performing first and band 2 last, then how many ways can their appearances be scheduled?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A. The number of ways a student can be…

Q: If we want to create a group of six people where they role will assigned as their names are chosen,…

A: Solution The selection of the people should be with the arrangement does not matter . So the…

Q: At a music festival, there are ten bands scheduled to play, numbered 1 through 10. a. How many…

A: At a music festival, there are ten bands scheduled to play, numbered 1 through 10. a. Number of…

Q: In certain state the license plates all consist of 2 letters followed by 3 digits. a. How many…

Q: A pet store surveyed 178 people to see how many own a bird and how many own a cat. The Venn diagram…

A: Given data, No of bird owners =37 No of cat owners=28 Bird & cat owners =39 No bird or cat…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: An art gallery has 20 pieces. They are categorized as follows: six of them are by Old Masters, nine…

A: It is given that in art gallery there are 20 pieces. Given, Six of them are by Old Masters, nine by…

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

Q: in how many ways can 7 volunteers be assigned to 7 booths for charity bazaar? a. 10080 ways b.…

A: We have to find the no of ways

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Q: Suppose that 15 athletes are competing in a final at the Olympics. In how many ways can the medals…

A: Given: 15 athletes are competing in a final at the Olympics. The objective is to find the number of…

Q: There are 58runners in a race. How many ways can the runners finish first, second, and third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…

Q: A city soccer league has 8 teams. In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams. Since it is ranking, so order…

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

Question

At a music festival, there are

eight

bands scheduled to play, numbered 1 through

a. How many different ways can these bands be arranged to perform?

b. If band

is performing first and band

last, then how many ways can their appearances be scheduled?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A class has 32 students. In how many different ways can six students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the six students can form a group for an activity. (Type a whole number.)
We are choosing participants for a panel discussion on allowing alcohol on a university campus. We must choose 2 administrators from a group of 8 administrators and 2 students from a group of 12 students. How many different panels can be formed?
At a music festival, there are seven bands scheduled to play, numbered 1 through 7. a. How many different ways can these bands be arranged to perform? b. If band 2 is performing first and band 5 last, then how many ways can their appearances be scheduled?
In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!
Find the number of full houses in a poker hand, that is, the number of poker hands with three of a kind and two of a kind.
there are eight girls competing in a ice skating competition.in how many ways can they finish in first , second, and third
Twelve wedding guests are assigned seats in the northwest corner of the reception hall. Show all work. a. If the seats are numbered, how many ways can the 12 guests be seated in 3 chairs? b. If the reception hall instead assigned 6 guests per table, how many ways can 12 guests be assigned to a table?
A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) C.. There are different ways that the four students can form a group for an activity. (Type a whole number.)
There are 10 students in a class. In how many ways can an instructor give exactly three students a grade A?