All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
How many ways can 6 people be arranged in a circle?
How many ways can 6 people be arranged in a circle?
Expand All
Collapse All
Practice Questions
1 question
Q1
How many ways can 6 people be arranged in a circle?
720
120
60
30
Show Solution
Copy
The number of arrangements in a circle is (n-1)! = (6-1)! = 5! = 120.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 6 people be arranged in a circle?
Solution:
The number of arrangements in a circle is (n-1)! = (6-1)! = 5! = 120.
Steps: 6
Show Steps
Step 1: Understand that arranging people in a circle is different from arranging them in a line.
Step 2: When arranging in a circle, one person's position is fixed to avoid counting the same arrangement multiple times.
Step 3: For 6 people, we can fix one person in place, leaving us with 5 people to arrange.
Step 4: The number of ways to arrange these 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: Therefore, the total number of ways to arrange 6 people in a circle is 120.
Related Questions
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
I
In how many ways can 7 different objects be arranged in a circle?
Question: In how many ways can 7 different objects be arranged in a circle?Options: 72050407200600Co..
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
F
Find the value of tan(45°) + cot(45°).
Question: Find the value of tan(45°) + cot(45°).Options: 120undefinedCorrect Answer: 2Solution: tan(..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
