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? (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.

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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