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. (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
(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
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