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. (d) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
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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.

(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.

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