CA Foundation Exam > CA Foundation Questions > The number of ways in which 7 girls form a ri...
Start Learning for Free
The number of ways in which 7 girls form a ring is
- a)700
- b)710
- c)720
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The number of ways in which 7 girls form a ring isa)700b)710c)720d)non...
Most Upvoted Answer
The number of ways in which 7 girls form a ring isa)700b)710c)720d)non...
Solution:
To form a ring, we need to make a circle by joining the ends.
Step 1: Selecting a girl as the first member.
We can select any one of the seven girls as the first member. So, the number of ways = 7.
Step 2: Arranging the remaining six girls:
We have six girls left to arrange. Since the arrangement is circular, we can fix any one of the six girls at the first position, and the remaining five can be arranged in 5! ways. So, the number of ways = 5! = 120.
Step 3: Total number of ways:
By the multiplication principle of counting, the total number of ways = 7 × 120 = 840.
Step 4: Over-counting:
We have over-counted the arrangements because a circular arrangement can be rotated. Since there are seven girls, we have counted each arrangement seven times (because we can start from any one of the seven girls). So, the actual number of distinct arrangements is 840/7 = 120.
Therefore, the correct answer is option C (720).
To form a ring, we need to make a circle by joining the ends.
Step 1: Selecting a girl as the first member.
We can select any one of the seven girls as the first member. So, the number of ways = 7.
Step 2: Arranging the remaining six girls:
We have six girls left to arrange. Since the arrangement is circular, we can fix any one of the six girls at the first position, and the remaining five can be arranged in 5! ways. So, the number of ways = 5! = 120.
Step 3: Total number of ways:
By the multiplication principle of counting, the total number of ways = 7 × 120 = 840.
Step 4: Over-counting:
We have over-counted the arrangements because a circular arrangement can be rotated. Since there are seven girls, we have counted each arrangement seven times (because we can start from any one of the seven girls). So, the actual number of distinct arrangements is 840/7 = 120.
Therefore, the correct answer is option C (720).
Free Test
FREE
| Start Free Test |
Community Answer
The number of ways in which 7 girls form a ring isa)700b)710c)720d)non...
Yes it is 720
Because it is the arrangement of 7 living objects in a circular form
Therefore formula of circular permutation will apply, i.e.,. ( n-1)!
Thus answer is (7-1)!
=6!
=720
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The number of ways in which 7 girls form a ring isa)700b)710c)720d)none of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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