CA Foundation Exam  >  CA Foundation Questions  >  5 persons are sitting in a round table in suc... Start Learning for Free
5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these?
Most Upvoted Answer
5 persons are sitting in a round table in such way that Tallest Person...
I guess answer is c 
      tallest and shortest are fixed so considering them as 1 unit
         remaining 3 can be seated in 3! ways
            so 3+1=4!
                     4!=24
Community Answer
5 persons are sitting in a round table in such way that Tallest Person...
The given problem involves arranging 5 persons in a round table in a specific way, where the tallest person is always on the right side of the shortest person. We need to find the number of such arrangements.

Understanding the Problem:
We have 5 persons, and they need to be arranged in a round table. The tallest person should always be on the right side of the shortest person. This means that the shortest person will occupy the first position in the arrangement, and the tallest person will occupy the fifth position.

Approach:
To solve this problem, we can fix the position of the shortest person and then arrange the remaining 4 persons around the table. Let's consider the shortest person as Person A and the tallest person as Person E.

Step 1: Fix the position of Person A
Since Person A needs to be in the first position, we fix his position.

Step 2: Arrange the remaining 4 persons
Now, we have 4 persons remaining (B, C, D, and E) to be arranged around the table. However, we need to ensure that Person E (the tallest person) is always on the right side of Person A (the shortest person).

Case 1: Person E is to the immediate right of Person A
In this case, Person B, Person C, and Person D can be arranged in any order to the left of Person A. The arrangement for this case is as follows:
A -> E -> B -> C -> D

Case 2: Person E is not to the immediate right of Person A
In this case, Person B, Person C, Person D, and Person E can be arranged in any order to the left of Person A. The arrangement for this case is as follows:
A -> B -> E -> C -> D

Calculating the number of arrangements:
In Case 1, we have 3 persons (B, C, D) to be arranged, which can be done in 3! = 6 ways.
In Case 2, we have 4 persons (B, C, D, E) to be arranged, which can be done in 4! = 24 ways.

Since both cases are valid arrangements, we need to consider the total number of arrangements as the sum of the arrangements in both cases.

Total number of arrangements = Number of arrangements in Case 1 + Number of arrangements in Case 2
= 6 + 24
= 30

Therefore, the number of arrangements satisfying the given conditions is 30.

Answer:
(d) none of these
Explore Courses for CA Foundation exam
5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these?
Question Description
5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these?.
Solutions for 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? 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 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? defined & explained in the simplest way possible. Besides giving the explanation of 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these?, a detailed solution for 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? has been provided alongside types of 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? theory, EduRev gives you an ample number of questions to practice 5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (a) 6 (b) 8 (c) 24 (d) none of these? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev