In an experiment on social​ interaction, 

5 

people will sit in 

5 

seats in a row. In how many ways can this be​ done?

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Part 1

There are 

enter your response here 

ways.

To determine how many ways 5 people can sit in 5 seats, we use the concept of permutations. Since each person is distinct and has a unique seat, the total number of ways to arrange 5 people in 5 seats is given by the factorial of 5, written as \( 5! \).

\[
5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
\]

Thus, there are **120 ways** to arrange 5 people in 5 seats.

Would you like further details or have any questions? 

Here are 5 related questions you might find interesting:
1. How many ways can 6 people sit in 6 seats?
2. What if 3 seats were available for 5 people? How many ways could this be done?
3. How many ways can 5 people sit in a circle instead of in a row?
4. What if some of the 5 people were indistinguishable? How would that affect the number of ways?
5. How can the number of ways change if some seats were reserved for specific individuals?

**Tip:** When dealing with seating arrangements, always think of permutations when the order of people matters.

In an experiment on social interaction, 5 people will sit in 5 seats in a row. In how many ways can this be done?

Explore how to find the number of ways to arrange 5 people in 5 seats using permutations. This problem covers essential concepts of factorials and permutations, ideal for students in Grades 6-8. Learn step-by-step how to calculate 5! to find the solution.

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