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 3 men and 2 women be arranged in a line if the men must be tog
How many ways can 3 men and 2 women be arranged in a line if the men must be together?
Expand All
Collapse All
Practice Questions
1 question
Q1
How many ways can 3 men and 2 women be arranged in a line if the men must be together?
60
120
30
24
Show Solution
Copy
Treat the 3 men as one unit. So, we have 3 units (MMM, W, W). Arrangements = 4! * 3! = 24 * 6 = 144.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 3 men and 2 women be arranged in a line if the men must be together?
Solution:
Treat the 3 men as one unit. So, we have 3 units (MMM, W, W). Arrangements = 4! * 3! = 24 * 6 = 144.
Steps: 6
Show Steps
Step 1: Treat the 3 men as one single unit. This means we consider them as 'MMM'.
Step 2: Now, we have 3 units to arrange: 'MMM', 'W', and 'W'.
Step 3: Calculate the number of ways to arrange these 3 units. This is done using the factorial of the number of units: 3! (which is 3 x 2 x 1 = 6).
Step 4: Next, we need to arrange the 3 men within their unit 'MMM'. The number of ways to arrange 3 men is 3! (which is also 6).
Step 5: Multiply the number of arrangements of the units by the arrangements of the men: 3! (for units) * 3! (for men) = 6 * 6 = 36.
Step 6: Therefore, the total number of ways to arrange 3 men and 2 women in a line, with the men together, is 36.
Related Questions
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)!)..
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..
I
If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is
Question: If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is the dista..
‹
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
✕
↑
