An event organizer is planning a programme for a group of 20 people who want to embark on a sightseeing trip. Due to space constraints at the facilities to be visited the organizer partitions the group into ﬁve non-empty subgroups. The number of people in the subgroups may vary from one subgroup to another. (a) How many diﬀerent partitions are there for the organizer? (b) How many diﬀerent partitions are there if the second subgroup is made up of 4 people? (c) How many diﬀerent partitions are there if the fourth subgroup is made up of 6 people?

An event organizer is planning a programme for a group of 20 people who want to embark on a sightseeing trip. Due to space constraints at the facilities to be visited the organizer partitions the group into ﬁve non-empty subgroups. The number of people in the subgroups may vary from one subgroup to another. (a) How many diﬀerent partitions are there for the organizer? (b) How many diﬀerent partitions are there if the second subgroup is made up of 4 people? (c) How many diﬀerent partitions are there if the fourth subgroup is made up of 6 people?

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

4. How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any other chair) into 3 separate rooms? No room can be left empty.
5. A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many different arrangements of cars are possible?
A club has 13 women and 7 men. They decided that at leats two women should represent them on the committee of 8. Under this restriction, how many different groups from this club are possible?
There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are taking just history, how many are taking sociology? Why is it not 45? Use a venn diagram for this problem.
If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?
In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women ?
2. Which of the following groups of students at Oxnard College would be smallest? Students that are taking a history class. Students that are taking a math class. Students that are taking a history class or a math class. Students that are taking a history class and a math class.
Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Part-time Unemployed Age Full-time 0-17 25 187 252 18-25 391 200 199 26-34 434 66 22 35-49 562 192 149 50+ 461 170 237 If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?