At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different...

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BTGmoderatorLU: Moderator; Posts: 2554; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Thu Mar 18, 2021 4:13 am

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Source: GMAT Prep

At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?

A. 5
B. 10
C. 24
D. 32
E. 120

The OA is C

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Source: Beat The GMAT — Problem Solving | Thu Mar 18, 2021 4:13 am

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Re: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered differen

by Scott@TargetTestPrep » Wed Mar 31, 2021 8:39 am

BTGmoderatorLU wrote: ↑
Thu Mar 18, 2021 4:13 am
Source: GMAT Prep

At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?

A. 5
B. 10
C. 24
D. 32
E. 120

The OA is C

Solution:

When determining the number of ways to arrange a group around a circle, we subtract 1 from the total and set it to a factorial. Thus, the total number of possible seating arrangements for 5 people around a circular table is (5 - 1)! = 4! = 24.

Answer: C

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Founder and CEO
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