Quant Exam > Quant Questions > In how many ways 4 men and 4 women can be sea...
Start Learning for Free
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?
- a)28
- b)36
- c)4!.4!
- d)2.4!.4!
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In how many ways 4 men and 4 women can be seated in a row so that men ...
Most Upvoted Answer
In how many ways 4 men and 4 women can be seated in a row so that men ...
To solve this problem, we can use the concept of permutations.
Step 1: Identify the number of ways to arrange the men and women separately
Since there are 4 men and 4 women, we can arrange them amongst themselves in 4! ways. This means that there are 4! ways to arrange the men and 4! ways to arrange the women.
Step 2: Determine the number of ways to arrange the men and women alternately
To arrange the men and women alternately, we need to consider them as a single unit. Therefore, we have 2 units - one unit consisting of the 4 men and the other unit consisting of the 4 women.
Step 3: Find the number of ways to arrange the 2 units
Since there are 2 units, we can arrange them in 2! ways.
Step 4: Multiply the results from Step 1, Step 2, and Step 3
To find the total number of ways to arrange the men and women alternately, we need to multiply the number of ways to arrange the men, women, and the units together. Therefore, the total number of ways is given by:
4! * 4! * 2!
Simplifying this expression, we get:
4! = 4*3*2*1 = 24
2! = 2*1 = 2
Multiplying these values, we get:
24 * 24 * 2 = 1152
Therefore, the correct answer is option D) 2.4!.4!, which is equal to 1152.
Step 1: Identify the number of ways to arrange the men and women separately
Since there are 4 men and 4 women, we can arrange them amongst themselves in 4! ways. This means that there are 4! ways to arrange the men and 4! ways to arrange the women.
Step 2: Determine the number of ways to arrange the men and women alternately
To arrange the men and women alternately, we need to consider them as a single unit. Therefore, we have 2 units - one unit consisting of the 4 men and the other unit consisting of the 4 women.
Step 3: Find the number of ways to arrange the 2 units
Since there are 2 units, we can arrange them in 2! ways.
Step 4: Multiply the results from Step 1, Step 2, and Step 3
To find the total number of ways to arrange the men and women alternately, we need to multiply the number of ways to arrange the men, women, and the units together. Therefore, the total number of ways is given by:
4! * 4! * 2!
Simplifying this expression, we get:
4! = 4*3*2*1 = 24
2! = 2*1 = 2
Multiplying these values, we get:
24 * 24 * 2 = 1152
Therefore, the correct answer is option D) 2.4!.4!, which is equal to 1152.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer?
Question Description
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer?.
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer?.
Solutions for In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?a)28b)36c)4!.4!d)2.4!.4!Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup