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. (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.
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. (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.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 1E
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