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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