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Perms&Cons help (1 Viewer)

leonmfps

New Member
Joined
May 30, 2015
Messages
4
Gender
Male
HSC
2018
No answers to these sorry.

1. A group of 12 people is to be seated at a long table with 6 seats each side.
There are 4 people who wish to be on one side of the table and 3 people who wish to
be on the other side. How many seating arrangements are there?

2. How many sets of 5 bands can be formed from 5 lead guitars, 5 bass guitars, 5
drummers and 5 pianists, if each band has to have at least one player of each
instrument.

Appreciate any help.
 

leonmfps

New Member
Joined
May 30, 2015
Messages
4
Gender
Male
HSC
2018
I discussed this with my teacher and he confirmed the answers were these:
1. 6P4*6P3*5! or 2*6P4*6P3*5! (depending on whether the side matters, since the question was too vague)
2. [(5C1)^4 * (4C1)^4 * (3C1)^4 * (2C1)^4]/5!



Sorry for the late reply
 

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