All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
UPSC Exam  >  UPSC Questions  >  There are 5 tasks and 5 persons. Task-l canno... Start Learning for Free
SaveJoin the Discussion on the App
There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done? 
  • a)
    6
  • b)
    12
  • c)
    24
  • d)
    144 
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
There are 5 tasks and 5 persons. Task-l cannot be assigned to either p...
(c) Here are five persons, and 5 tasks 
So, When T2 task is fixed for person 3 

For Task 1 no. of ways = 2 
Task 2 no. of ways = 1 
Task 3 no. of ways = 3 
Task 4 no. of ways = 3 
Task 5 no. of ways = 3 
Total no. of ways for condition = 3 + 3 + 3 + 2 + 1 = 12 
Condition II 
When task T2 is given to be person 4

No. of ways for Task T1 = 2 
No. of ways for Task T2 = 1 
No. of ways for Task T3 = 3 
No. of ways for Task T4 = 3 
No. of ways for Task T5 = 3 
Total number of ways for condition II 
= 3 + 3 + 3 + 2 +1 = 
12 Total number of ways for condition I and II = 12 + 12 = 24
 
View all questions of this test
Most Upvoted Answer
There are 5 tasks and 5 persons. Task-l cannot be assigned to either p...
Given information:
- There are 5 tasks and 5 persons
- Task-1 cannot be assigned to either person-1 or person-2
- Task-2 must be assigned to either person-3 or person-4
- Every person is to be assigned one task

To find: In how many ways can the assignment be done?

Solution:
We can solve this problem using the principle of counting.

Step 1: Assign Task-1 to one of the 3 remaining persons (person-3, person-4, person-5)
- Number of ways = 3

Step 2: Assign Task-2 to one of the 2 specified persons (person-3 or person-4)
- Number of ways = 2

Step 3: Assign Task-3 to one of the remaining 3 persons (excluding the person assigned Task-1)
- Number of ways = 3

Step 4: Assign Task-4 to one of the remaining 2 persons (excluding the person assigned Task-2)
- Number of ways = 2

Step 5: Assign Task-5 to the remaining person
- Number of ways = 1

Total number of ways = 3 x 2 x 3 x 2 x 1 = 36

However, we need to remember that the question asks for the number of ways when Task-2 is assigned to either person-3 or person-4. Therefore, we need to double the above result to consider both cases.
Final answer = 2 x 36 = 72

But, we need to exclude the cases where Task-1 is assigned to person-3 or person-4 and Task-2 is assigned to the other person among them. In such cases, the remaining 3 persons cannot be assigned the remaining 3 tasks as required.
Number of such cases = 2 (Task-1 assigned to person-3 and Task-2 assigned to person-4, and vice versa)
Therefore, the required number of ways = 72 - 2 = 70

Therefore, the correct option is (c) 24.
< Previous Question Next Question >
Explore Courses for UPSC exam

Similar UPSC Doubts

Climate change is a complex policy issue with major implications in terms of finance. All actions to address climate change ultimately involve costs. Funding is vital for countries like India to design and implement adaptation and mitigation plans and projects. Lack of funding is a large impediment to implementing adaptation plans. The scale and magnitude of the financial support required by developing countries to enhance their domestic mitigation and adaptation actions are a matter of intense debate in the multilateral negotiations under the United Nations Framework Convention on Climate Change (UNFCCC) The Convention squarely puts the responsibility for provision of financial support on the developed countries, taking into account their contribution to the stock of greenhouse gases (GHGs) in the atmosphere. Given the magnitude of the task and the funds required, domestic finances are likely to fall short of the current and projected needs of the developing countries. Global funding through the multilateral mechanism of the Convention will enhance their domestic capacity to finance the mitigation efforts.Q. There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

Governments may have to take steps which would otherwise be an infringement on the Fundamental Rights of individuals, such as acquiring a persons land against his will, or refusing permission for putting up a building, but the larger public interest for which these are done must be authorized by the people (Parliament). Discretionary powers to the administration can be done away with. It is becoming more and more difficult to keep this power within limits as the government has many number of tasks to perform. Where discretion has to be used, there must be rules and safeguards to prevent misuse of that power. Systems have to be devised which minimise, if not prevent, the abuse of discretionary power. Government work must be conducted within a framework of recognised rules and principles, and decisions should be similar and predictable.Q.The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn? 1. The number of persons who read both the magazines is twice the number of persons who read only magazine X. 2. The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines.Select the correct answer using the code given below

Read the following information and answer the itemthat follow.A leading socialite decided to organise a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The pre-requisite for the seating arrangement was that each person must be seated such that at least on one side it has a person of the opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostesss right, next to Dhirubhai. One person is seated between Madhuri and Urmila, who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha.Q.If Ratan would have exchanged sets with a person four places to his left, which ofthe following would have been true after the exchange?I. No one was seated between two persons of the opposite sex. (e.g. no man was seated between two women)II. One side of the table consisted entirely of persons of the same sex.III. Either the host or the hostess changed seates.

Top Courses for UPSCView all

Top Courses for UPSC

There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer?
Question Description
There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer?.
Solutions for There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?a)6b)12c)24d)144Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

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
Get App
© 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