Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 169918: a)In how many ways can 4 people be seated around a circular table with 4 identical chairs?
b) in how many ways can 5 people be seated around a circular table if 1 of the chairs is an armchair?
: a)In how many ways can 4 people be seated around a circular table with 4 identical chairs?
b) in how many ways can 5 people be seated around a circular table if 1 of the chairs is an armchair?

Answer by stanbon(19743) About Me  (Show Source):
You can put this solution on YOUR website!
a)In how many ways can 4 people be seated around a circular table with 4 identical chairs?
Ans: 4!/4 = 3! = 6
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b) in how many ways can 5 people be seated around a circular table if 1 of the chairs is an armchair?
If that armchair implies it is a unique point in the arrangement count,
the answer is 5! = 120
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Cheers,
Stan H.