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The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:
Each committee must have exactly three members.
No person can serve on more than one committee.
H must serve on the entertainment committee.
C and D must serve on the same committee.
A and B cannot serve on the same committee.
E cannot serve on the same committee as I.
F must serve on the committee as B or H or both B and H.
If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?
  • a)
    A
  • b)
    D
  • c)
    E
  • d)
    F
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The president of a club is appointing nice officials A, B, C, D, E, F,...

Left Members are ADEC and I.
Now A and B should be separate. Let us assume that A is in Entertainment committee and C and D have to be together so we place them in food committee. E and I have to be separate so we can place E in entertainment committee.
Hence D is in the food committee
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Community Answer
The president of a club is appointing nice officials A, B, C, D, E, F,...
Explanation:

Given Information:
- There are 9 officials named A, B, C, D, E, F, G, H, and I.
- There are 3 committees: Games Committee, Food Service Committee, and Entertainment Committee.
- Each committee must have exactly 3 members.
- No person can serve on more than one committee.
- H must serve on the Entertainment Committee.
- C and D must serve on the same committee.
- A and B cannot serve on the same committee.
- E cannot serve on the same committee as I.
- F must serve on the committee as B or H or both B and H.
- If B and G serve on the Games Committee.

Solution:
- Since H must serve on the Entertainment Committee, we fill H in the Entertainment Committee.
- Since C and D must serve on the same committee, we fill C and D in the same committee.
- Since A and B cannot serve on the same committee, A cannot be in the same committee as C and D. Therefore, A must be in the Games Committee along with G.
- Since E cannot serve on the same committee as I, E must be in the Food Service Committee.
- Since F must serve on the committee as B or H or both B and H, F must be in the Entertainment Committee with H.
- This leaves only I to be in the Food Service Committee.
Therefore, the officials on each committee are:
- Games Committee: A, B, G
- Food Service Committee: E, I,
- Entertainment Committee: F, H,
Therefore, D must serve on the Food Service Committee. The correct answer is option B (D).
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The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:Each committee must have exactly three members.No person can serve on more than one committee.H must serve on the entertainment committee.C and D must serve on the same committee.A and B cannot serve on the same committee.E cannot serve on the same committee as I.F must serve on the committee as B or H or both B and H.If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?a)Ab)Dc)Ed)FCorrect answer is option 'B'. Can you explain this answer?
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The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:Each committee must have exactly three members.No person can serve on more than one committee.H must serve on the entertainment committee.C and D must serve on the same committee.A and B cannot serve on the same committee.E cannot serve on the same committee as I.F must serve on the committee as B or H or both B and H.If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?a)Ab)Dc)Ed)FCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:Each committee must have exactly three members.No person can serve on more than one committee.H must serve on the entertainment committee.C and D must serve on the same committee.A and B cannot serve on the same committee.E cannot serve on the same committee as I.F must serve on the committee as B or H or both B and H.If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?a)Ab)Dc)Ed)FCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:Each committee must have exactly three members.No person can serve on more than one committee.H must serve on the entertainment committee.C and D must serve on the same committee.A and B cannot serve on the same committee.E cannot serve on the same committee as I.F must serve on the committee as B or H or both B and H.If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?a)Ab)Dc)Ed)FCorrect answer is option 'B'. Can you explain this answer?.
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