Answered: a) In how many ways can the…

Math

Probability

a) In how many ways can the choreographer choose the dancers if the company has 20 dancers? 24 dancers?

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: In a Quiz Competition, 102 Students took part in the Mathematics Quiz only, 30 students took part in…

A: Given students participate in Mathematics quiz only is 102 students participate in Physics quiz only…

Q: 2. In a group of 45 students, 23 take history, 18 take biology and 10 take both history and biology.…

A: Given : Total number of students = 45 Number of students taking history = 23 Number of students…

Q: a) Transport vehicles leaving the port with containers must have the containers tagged based on…

Q: 1.) There are 28 high schoolers going on the party bus for Prom that costs $1,455. Each Junior had…

A: 1.) There are 28 high schoolers going on the party bus for Prom that costs $1,455. Each Junior had…

Q: The students producing a school fashion show plan to have five scenes with music between them.The…

A: There are 5 scenes with music b/w them. The music students have come up with 18 pieces: 6 for…

Q: 2) 100 interviewees interviewed for a position at a five star hotel. From the interviewees, 50 had a…

A: Given that, 100 interviewees interviewed for a position at a five star hotel. From the interviewees,…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: Six people attend a party. If each person at the party shakes hands with everyone else, how many…

A: HAND SHAKE PROBLEM: In the hand shake problems, if there are n+1 people available and every person…

Q: 8) Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

A: Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

Q: Amir went to an ice-cream shop. There are several types of mixed nuts are popular for toppings ice…

A: Hello Thankyou for the question. According to our honor code can answer three parts at a time. As…

Q: 5) An ice cream shop has 10 flavours of ice cream and 7 toppings. Their megasundae consists of your…

Q: 8) Use strip diagrams to help answer the question. A media company sells 3 times as many newspapers…

Q: For my assignment, we had to come up with a carnival game. My idea was to create a game with a…

A: Given: The idea of creating a carnival game with a spinner and colored ducks is given. There are 5…

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: a. moblle phone snop has plors of 0, 8 of headphone. In how many ways a customer can che with a…

A: Given, A mobile shop has : 7 colors of ipad 8 colors of HCT mobile 4 colors of headphone to find…

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: NVC. Fifty eight of them will be taking up a math class, 60 students will be taking up an English…

A: Due to the rule I can solve only first three Sub questions if you wanted another answer kindly…

Q: twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…

A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The no.of ways can…

Q: 3.) Nathan plays a video game in which he starts with 0 points. In round 1, he loses 3; points; in…

Q: B. Illustrate the Combination of an object, by listing all the possibilities. 1. Choosing 2 books…

Q: Count.... a) 18 5 b. How many different 5-person teams can be formed from 15 students?

A: a) 8568 b) 3003

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: 4) You want to know if an octopus (octopi are very intelligent!) can tell the difference between…

A: To determine whether the octopus can tell the difference between circles and rectangles based on the…

Q: 3.) DJ: A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song is…

A: from the given find ( a)(b) and (c)

Q: 4.) How many ways are there to seat 6 people in a row?

A: given data we have to find number of ways to arrange 6 peoples in a row.

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

Q: 1) A lunch special at the local diner comes with a choice of beverage, choice of sandwich, and…

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: 5) A group of 32 people need to take an elevator to the top floor. They will go in groups of eight.…

A: We will find the number of possible scenarios as following.

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

Question

A ballet choreographer wants 18 dancers for a scene.

a) In how many ways can the choreographer choose the dancers if the company has 20 dancers? 24 dancers?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Help needed. Thank you
8. PIZZA Joelle has her choice of five pizza toppings: onions, sausage, mushrooms, pepperoni, and green pepper. In order to get a special price, she can only choose two toppings. How many combinations of toppings could she choose?
1. Nadya is taking her daughter to adopt a pet from the local animal shelter. They have 50 dogs and 21 cats available for adoption. How many options does Nadya's daughter have to choose from? kailes While at the animal shelter, Nadya and her daughter see another family adopt a dog and a cat. How many options did that family have to choose from? Feis
Suppose you want to get a license plate. The license plate has to have 3 letters without repetition, followed by 5 numbers without repetition. How many arrangements are possible? a 78,624,000 b 15,600 471,744,000 d. 30,240
5. For a school project, Ely will get 25 points for an oral presentation, with an additional 5 points for each display item he brings. How many items does he need to bring to get at least 45 points on the assignment?
Written Response 1) A school's debate team consists of 9 students and must consist of at most 3 boys. If 12 boys and 9 girls try out for the team, then the total number of ways the team can be chosen is?
A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
A new-custom made sweater is made by choosing the color, the material, whether or not the sweater will have a crew or v-neck, and whether or not the sweater will have decorations. If there are 7 colors available and 3 types of materials, how many different sweaters are possible? 35
Q) twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize receives $10. how many ways can 3 tickets be selected for 1st,2nd,and 3rd prize? Solve this early but correctly
Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and Taqwa walk into a class room which has a table with only 6 chairs. In how many ways can they be seated on the available chairs if order is important.
There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots. a.Determine the number of possible arrangements of the team
3.) The sum of the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6 years older than Bong. How old is Boyet?