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In how many ways can 12 members be seate...

In how many ways can 12 members be seated at a round table when the secretary and the joint secretary are always the neighbours of the president.

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To solve the problem of how many ways 12 members can be seated at a round table with the condition that the secretary and the joint secretary are always neighbors of the president, we can follow these steps: ### Step 1: Fix the Position of the President In a circular arrangement, we can fix one person's position to eliminate the effect of rotations. Let's fix the position of the president. **Hint:** Remember that in circular permutations, fixing one position helps simplify the counting. ### Step 2: Treat the Secretary and Joint Secretary as a Block ...
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