In how many ways can 6 people be seated at a round table?

In how many ways can 6 people be seated at a round table?

Correct Answer: 120

Step 1: Understand that seating people at a round table is different from a straight line because the arrangement is circular.
Step 2: Realize that if we fix one person in one seat, we can arrange the remaining people around them.
Step 3: Since we have fixed one person, we now have 5 people left to arrange.
Step 4: The number of ways to arrange 5 people in a line is calculated using factorial, which is written as 5!.
Step 5: Calculate 5! (5 factorial), which means 5 x 4 x 3 x 2 x 1 = 120.
Step 6: Conclude that the total number of ways to arrange 6 people at a round table is 120.

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