The numbers of different ways that they can be seated is 144.
What is the arrangement about?
The First thing to do is that we need to fix the spot for where the teachers need to go.
Then, we can also put in the points where the students also need to go. Note that there is found to be 4 spaces for the students to sit.
Hence, there is 4! ways to be able to seat the students. In response to the above also, there are found to 4! ways to be able to order the teachers.
Hence, there is 24 x 24 ways to be able to order them. But, the question states that you need to order them in a circular table, and this implies that you must divide by 4 to be able to tell the number of rotations and reflections that is therein.
Therefore, 24 x 24/4 = 144.
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