Problem Num : 2 |
From : AMC10B |
Type: |
Section:Counting |
Theme:
Adjustment# : 0 |
Difficulty: 1
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Ten chairs are evenly spaced around a round table and numbered clockwise from through . 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?
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Solution/Answer |
For the first man, there are possible seats. For each subsequent man, there are , , , and possible seats. After the men are seated, there are only two possible arrangements for the five women. The answer is .
Answer: |