3.79. In a compartment of a railroad carriage there are eight seats numbered from 1 to 8 in two equal rows. There are four girls: Ala, Julia, Kornelia and Maja, and four boys: Antek, Janek, Kacper and Michał. In how many ways can these people occupy the compartment: a) any way b) in such a way, that girls will sit in even numbered seats c) in such a way, that Julka and Antek sit next to each other

3.79. In a compartment of a railroad carriage there are eight seats numbered from 1 to 8 in two equal rows. There are four girls: Ala, Julia, Kornelia and Maja, and four boys: Antek, Janek, Kacper and Michał. In how many ways can these people occupy the compartment: a) any way b) in such a way, that girls will sit in even numbered seats c) in such a way, that Julka and Antek sit next to each other

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

Similar questions

Help
8) A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the Bank of Berba and 564 bank with the First Public Bank. How many employees bank with both banks, if 12 employees have no bank accounts?
Please answer number 5.
26. Mrs. Henry drove through a total of 48 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Henry had to stop for a red light before she could drive through. At home many intersections did Mrs. Henry have to stop for a red light? А. 4 В. 32 C. 24 D. 12 B.
3: At a Chinese restaurant, dinner for 8 people consists of 3 items from column A, 4 items from column B and 3 items from column C. If columns A, B and C have 5, 7 and 6 items respectively how many different dinner combinations are possible?
5 boys and 4 girls are marchnig in a line . how many ways can they be v arranged if 1] boys cannot stand next to boys and girls cannot be next to girls 2]order in the line does not matter
b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars?
Assume that there is a group of 13 students making presentations on 3 issues: parking fees, recreational sports facilities, and cafeteria quality. One student is selected to be primarily responsible for each issue. No one has responsibility for more than one issue. In how many ways can the issues be assigned?
There are 40 men in class. 29 of them have no facial hair (i.e. neither a beard nor a mustache). If 7 of the men have beards and 9 of the men have mustaches, how many of the men in the class have both a beard and a mustache? O A. 2 В. 4 O c. 5 D. 7 ОЕ. 16
6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose fromn and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?
2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.