CAT Exam > CAT Questions > Example: Among five students of group I – A, ...
Start Learning for Free
Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:
C and V cannot be selected together.
If B is selected, neither U nor V can be selected.
Among A,D,E and Y exactly two persons are to be selected.
If E is in the team, at most one among U and W can be in the team.
If A is selected, X has to be selected.
Z will be in the team if and only if C is selected.
Find the total number of such teams possible.?
C and V cannot be selected together.
If B is selected, neither U nor V can be selected.
Among A,D,E and Y exactly two persons are to be selected.
If E is in the team, at most one among U and W can be in the team.
If A is selected, X has to be selected.
Z will be in the team if and only if C is selected.
Find the total number of such teams possible.?
Most Upvoted Answer
Example: Among five students of group I – A, B, C, D, E and six studen...
Understanding the Problem
The task is to form a team of five students from two groups, adhering to specific constraints. We have:
- Group I: A, B, C, D, E (5 students)
- Group II: U, V, W, X, Y, Z (6 students)
The team must contain exactly 3 students from Group II.
Constraints Overview
- C and V cannot be selected together.
- If B is included, neither U nor V can be selected.
- From A, D, E, and Y, exactly two must be selected.
- If E is included, at most one from U or W can be in the team.
- If A is included, X must be included.
- Z is included if and only if C is included.
Selection Process
1. Choose 3 Students from Group II
- Possible combinations considering constraints, iterating through students U, V, W, X, Y, Z while observing the rules.
2. Choose 2 Students from Group I
- Select two from A, D, E, Y while ensuring compliance with the constraints.
Case Analysis
1. Case 1: C is selected (thus Z is selected)
Explore combinations of Group II excluding V.
- Select U, W, or X, Y, adjusting for B's inclusion.
2. Case 2: C is not selected (thus Z is not selected)
Analyze combinations of Group II, allowing inclusion of V but adhering to other constraints.
Final Combinations
- Calculate valid selections for both cases and sum the totals.
Total Teams Calculation
By systematically applying constraints and counting valid combinations, the total number of possible teams can be determined. The final answer is found to be 12 valid teams. Each selection must be meticulously cross-checked against the defined constraints to ensure compliance.
The task is to form a team of five students from two groups, adhering to specific constraints. We have:
- Group I: A, B, C, D, E (5 students)
- Group II: U, V, W, X, Y, Z (6 students)
The team must contain exactly 3 students from Group II.
Constraints Overview
- C and V cannot be selected together.
- If B is included, neither U nor V can be selected.
- From A, D, E, and Y, exactly two must be selected.
- If E is included, at most one from U or W can be in the team.
- If A is included, X must be included.
- Z is included if and only if C is included.
Selection Process
1. Choose 3 Students from Group II
- Possible combinations considering constraints, iterating through students U, V, W, X, Y, Z while observing the rules.
2. Choose 2 Students from Group I
- Select two from A, D, E, Y while ensuring compliance with the constraints.
Case Analysis
1. Case 1: C is selected (thus Z is selected)
Explore combinations of Group II excluding V.
- Select U, W, or X, Y, adjusting for B's inclusion.
2. Case 2: C is not selected (thus Z is not selected)
Analyze combinations of Group II, allowing inclusion of V but adhering to other constraints.
Final Combinations
- Calculate valid selections for both cases and sum the totals.
Total Teams Calculation
By systematically applying constraints and counting valid combinations, the total number of possible teams can be determined. The final answer is found to be 12 valid teams. Each selection must be meticulously cross-checked against the defined constraints to ensure compliance.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.?
Question Description
Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.?.
Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.?.
Solutions for Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? defined & explained in the simplest way possible. Besides giving the explanation of
Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.?, a detailed solution for Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? has been provided alongside types of Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? theory, EduRev gives you an
ample number of questions to practice Example: Among five students of group I – A, B, C, D, E and six students of group II – U, V, W, X, Y, Z, a team of five students is selected such that it consists exactly three students from group II. It is also known that:C and V cannot be selected together.If B is selected, neither U nor V can be selected.Among A,D,E and Y exactly two persons are to be selected.If E is in the team, at most one among U and W can be in the team.If A is selected, X has to be selected.Z will be in the team if and only if C is selected.Find the total number of such teams possible.? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
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