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2008 AMC 10B Problem 21

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2008 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 4 of 5 · about 6 min · position P21-25

Ten chairs are evenly spaced around a round table and numbered clockwise from $1$ through $10$ . Five married couples are to sit in the chairs with men and women alternating, and no one is to sit either next to or across from his/her spouse. How many seating arrangements are possible?

A)
$240$
B)
$360$
C)
$480$
D)
$540$
E)
$720$

2008 AMC 10B Problem 21

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