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Directions for Questions: answer the questions on the basis of the information given below.
A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:
(i) The team must have at least one forward, one point guard and one defender.
(ii) If the team includes J, it must also include F.
(iii) The team must include E or B, but not both.
(iv) If the team includes G, it must also include F.
(v) The team must include exactly one among C, G and I.
(vi) C and F cannot be members of the same team
(vii) D and H cannot be members of the same team
(viii) The team must include both A and D or neither of them
There is no restriction on the number of members in the team.
(2016)
Q. What can be the size of the team that includes C?
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    More than one of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions for Questions: answer the questions on the basis of the inf...
If C is included, G, I and F must be excluded.
As F is excluded, J also must be excluded.
As F and I are excluded, the only remaining defender D must be included.
As D is included, A must be included and thus H must be excluded.
As G and H are excluded, the only remaining point guard B must be selected.
As B is included, E must be excluded.
∴ The team is (A, B, C, D) So, size of the team that includes C is 4.
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Most Upvoted Answer
Directions for Questions: answer the questions on the basis of the inf...
Understanding the Team Selection Constraints
To determine the possible size of a team that includes C, we must analyze the given constraints carefully.
Team Member Categories
- Forwards: A, C, E
- Point Guards: B, G, H
- Defenders: D, F, I
Key Constraints to Consider
1. Inclusion of C:
- According to the rules, if C is included, then G and I cannot be included (rule v).
2. Inclusion of E or B:
- The team must include either E or B, but not both (rule iii). If C is included, we can only select E or B.
3. Including F with J or G:
- If J is included, F must also be included (rule ii).
- If G is included, F must also be included (rule iv). However, G cannot be included since C is in the team.
4. C and F are Mutual Exclusives:
- C and F cannot be on the same team (rule vi). Therefore, if C is included, F cannot be.
5. A and D's Inclusion:
- The team must include both A and D or neither (rule viii).
Possible Team Sizes with C
Based on these constraints, we can create potential team combinations including C:
- Team Size of 4:
- A (F), C (F), E (F), D (D)
- This includes 1 forward (C), 1 point guard (any), and 1 defender (D).
- Team Size of 5:
- A (F), C (F), E (F), D (D), B (PG)
- This configuration also meets all constraints, providing a valid team size.
Conclusion
Given these combinations, the size of the team that includes C can indeed be 4 or 5. Thus, the correct answer is option B (4).
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Community Answer
Directions for Questions: answer the questions on the basis of the inf...
If C is included, G, I and F must be excluded.
As F is excluded, J also must be excluded.
As F and I are excluded, the only remaining defender D must be included.
As D is included, A must be included and thus H must be excluded.
As G and H are excluded, the only remaining point guard B must be selected.
As B is included, E must be excluded.
∴ The team is (A, B, C, D) So, size of the team that includes C is 4.
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Directions for Questions: answer the questions on the basis of the information given below.A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.Further, the following conditions need to be observed:(i)The team must have at least one forward, one point guard and one defender.(ii)If the team includes J, it must also include F.(iii)The team must include E or B, but not both.(iv)If the team includes G, it must also include F.(v)The team must include exactly one among C, G and I.(vi)C and F cannot be members of the same team(vii)D and H cannot be members of the same team(viii)The team must include both A and D or neither of themThere is no restriction on the number of members in the team.(2016)Q.What can be the size of the team that includes C?a)3b)4c)5d)More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?
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