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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 42RE: How many distinct rearrangements of the letters of the word DEADWOOD are there if the arrangement...

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How many distinct rearrangements of the letters of the word DEADWOOD are there if the arrangement must begin and end with the letter D?
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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.
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 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. (a) How many different partitions are there if the second subgroup is made up of 4 people? (b) How many different partitions are there if the fourth subgroup is made up of 6 people? (c) How many different partitions are there if the second and fourth subgroups have 4 and 6 people respectively?