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The number of ways in which four persons...

The number of ways in which four persons be seated at a round table, so that all shall not have the same neighbours in any two arrangements,is

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To solve the problem of seating four persons at a round table such that no two arrangements have the same neighbors, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Arrangement at a Round Table**: When arranging people in a circular formation, we can fix one person to eliminate the effect of rotations. This is because rotating the entire arrangement does not create a new arrangement. 2. **Fixing One Person**: ...
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