An event organizer is planning a program 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 if the second and fourth subgroups have 4 and 6 people respectively? (b) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.

An event organizer is planning a program 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 if the second and fourth subgroups have 4 and 6 people respectively? (b) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.

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...

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An event organizer is planning a programme for a group of 20 people who want to embark on a sightseeing trip. Due to space constraint at the facilities to be visited the organization partition the group into five non-empty subgroups.the number of people in the subgroup may vary from one subgroup to another. (1) how many different partitions are there for the organizer ? (2) How many different partition are there if the second subgroup is made up of 4 people ?. (3) How many different partition are there if the fouth subgroup is made up of 6 people ? (4) How many different partition are there if the second and fouth subgroups have 4 and 6 people respectively ? (5) The organizer chooses a partition of the people at random .Find the probability that the number of people in the second and fouth subgroups of the chosen partition are not 4 and 6 respectively.
1. An event organizer is planing a programme for a group of 20 people who want to embarkon 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 thesubgroups 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 upof 4 people? (c) How many different partitions are there if the fourth subgroup is made upof 6 people? (d) How many different partitions are there if the second and fourthsubgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find theprobability that the number of people in the second and fourth subgroupsof the chosen partition are not 4 and 6 respectively
1. An event organizer is planing a program 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? (d) How many diﬀerent partitions are there if the second and fourth subgroups have 4 and 6 people respectively?(e) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.
An event organizer is planing 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 orga- nizer 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? (d) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.
An event organizer is planing 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 orga- nizer 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 if the fourth subgroup is made up of 6 people? (b) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively? (c) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.
An event organizer is planing 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 orga- nizer 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 if the fourth subgroup is made up of 6 people? (b) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively
An event organizer is planing 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 orga- nizer 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 if the fourth subgroup is made up of 6 people? (b) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively?
An event organizer is planing 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? (d) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.
An event organizer is planing 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 orga- nizer 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?
An event organizer is planing 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 orga- nizer partitions the group into five non-empty subgroups. The number of people in the subgroups may vary from one subgroup to another. (c)How many different partitions are there if the fourth subgroup is made up of 6 people? (d) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find the probability that the number of people in the second and fourth subgroups of the chosen partition are not 4 and 6 respectively.
. An event organizer is planing 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 planing a programme for a group of 20 people who want to embarkon 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 thesubgroups may vary from one subgroup to another.(d) How many different partitions are there if the second and fourthsubgroups have 4 and 6 people respectively? (e) The organizer chooses a partition of the people at random. Find theprobability that the number of people in the second and fourth subgroupsof the chosen partition are not 4 and 6 respectively.