How many ways can 4 people be seated at a round table?
Practice Questions
1 question
Q1
How many ways can 4 people be seated at a round table?
6
12
24
30
The number of arrangements of 4 people at a round table is (4-1)! = 3! = 6.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 4 people be seated at a round table?
Solution: The number of arrangements of 4 people at a round table is (4-1)! = 3! = 6.
Steps: 6
Step 1: Understand that seating people at a round table is different from a straight line because rotations of the same arrangement are considered the same.
Step 2: To find the number of unique arrangements, we can fix one person in place to eliminate the effect of rotation.
Step 3: After fixing one person, we only need to arrange the remaining 3 people around the table.
Step 4: The number of ways to arrange 3 people is calculated as 3! (3 factorial).
Step 5: Calculate 3! which is 3 x 2 x 1 = 6.
Step 6: Therefore, the total number of ways to seat 4 people at a round table is 6.
