Question - Permutations of People Seating at a Rectangular Table
Solution:
For the captain to be seated at one end of the rectangular table:
- There are 2 choices for which end the captain sits at.
- There are 9! ways to arrange the remaining people on the other seats.
Hence, the total number of ways is \( 2 \times 9! \).
\( 2 \times 9! = 2 \times 362,880 = 725,760 \)
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