JEE Exam > JEE Questions > In how many ways can 12 gentlemen sit around ...
Start Learning for Free
In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?
- a)9!
- b)10!
- c)3! 10!
- d)3! 9!
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In how many ways can 12 gentlemen sit around a round table so that thr...
It is obvious by fundamental property of circular permutations.
Free Test
FREE
| Start Free Test |
Community Answer
In how many ways can 12 gentlemen sit around a round table so that thr...
Solution:
Given 12 gentlemen are seated around a round table and three specified gentlemen are always together.
We consider three specified gentlemen as a single unit and the remaining 9 gentlemen as separate units.
Now, we have to arrange 10 units around a circular table in (10-1)! ways.
But, the three specified gentlemen can be arranged among themselves in 3! ways.
Therefore, the total number of ways to arrange 12 gentlemen around a round table so that three specified gentlemen are always together is:
(10-1)! × 3! = 9! × 3!
Hence, option D is the correct answer.
Given 12 gentlemen are seated around a round table and three specified gentlemen are always together.
We consider three specified gentlemen as a single unit and the remaining 9 gentlemen as separate units.
Now, we have to arrange 10 units around a circular table in (10-1)! ways.
But, the three specified gentlemen can be arranged among themselves in 3! ways.
Therefore, the total number of ways to arrange 12 gentlemen around a round table so that three specified gentlemen are always together is:
(10-1)! × 3! = 9! × 3!
Hence, option D is the correct answer.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer?
Question Description
In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer?.
In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer?.
Solutions for In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!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 can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!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 can 12 gentlemen sit around a round table so that three specified gentlemen are always together?a)9!b)10!c)3! 10!d)3! 9!Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup