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Group Question
Answer the following question based on the information given below.
For a certain quiz, 10 questions have been short listed but the number of participating teams is yet undecided. The question numbers are labeled as Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9 and Q10.
Since the number of participating teams is not decided, it was decided to form sets from these 10 questions with the restriction that each set must have at least two questions.
However the selection of questions for any set was subject to following restrictions:
1. Q1 and Q8 must be in the same set.
2. Q8 and Q5 cannot be in the same set.
3. Q2 and Q6 cannot be in the same set.
4. Q9, Q2 and 0 4 if selected must be in the same set.
5. Q3 and Q10 must appear in the set together.
6. Q1 and Q3 cannot be in the same set.
Additional information for Q.1 and Q.2:
All the sets formed have 4 questions each.
 
Q. How many sets of four questions can be formed?
    Correct answer is '6'. Can you explain this answer?
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    Group QuestionAnswer the following question based on the information g...
    Possible sets having four questions each can be:
    Set 1: Q3, Q10, Q5 and Q7
    Set 2: Q9, Q2, Q4 and Q7
    Set 3: Q6, Q5, Q3 and Q10
    Set 4: Q6, Q7, Q3 and Q10
    Set 5: Q9, Q2, Q4 and Q5
    Set 6: Q1, Q8, Q6 and Q7
    Answer: 6
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    Most Upvoted Answer
    Group QuestionAnswer the following question based on the information g...
    Understanding the Problem
    To determine how many sets of four questions can be formed from the shortlisted 10 questions, we must adhere to the given restrictions while ensuring each set includes 4 questions.
    Restrictions Overview
    - Q1 and Q8 must be included together.
    - Q8 and Q5 cannot be included together.
    - Q2 and Q6 cannot be included together.
    - If Q9 is selected, then Q2 and Q4 must also be included.
    - Q3 and Q10 must both be included in the same set.
    - Q1 and Q3 cannot be included together.
    Possible Combinations
    1. Set including Q1 and Q8:
    - Since Q1 and Q8 are bound together, they are always part of the set. We now need to select 2 more questions from the remaining options (Q2, Q3, Q4, Q5, Q6, Q9, Q10).
    2. Considering Q3 and Q10 together:
    - If we include both Q3 and Q10, we now have:
    - Selected: Q1, Q8, Q3, Q10.
    - Remaining questions: Q2, Q4, Q5, Q6, Q9.
    - However, Q1 and Q3 cannot coexist, so this combination is invalid.
    3. Choosing Q5:
    - If Q5 is included, Q8 must also be there, but Q1 cannot be paired with Q3. Thus, valid sets can be:
    - Q1, Q8, Q5, Q2
    - Q1, Q8, Q5, Q4
    4. Using Q2 and Q4:
    - If Q9 is selected, we must have Q2 and Q4, with the valid combinations:
    - Q2, Q4, Q9, Q1
    - Q2, Q4, Q9, Q8
    5. Final Combinations:
    - Combining these insights leads to the following valid sets:
    - {Q1, Q8, Q2, Q5}
    - {Q1, Q8, Q4, Q5}
    - {Q2, Q4, Q9, Q1}
    - {Q2, Q4, Q9, Q8}
    Conclusion
    After evaluating the combinations while adhering to all restrictions, the total number of valid sets of four questions is 6.
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Q1 and Q3 cannot be in the same set.Additional information for Q.1 and Q.2:All the sets formed have 4 questions each.Q.How many sets of four questions can be formed?Correct answer is '6'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.For a certain quiz, 10 questions have been short listed but the number of participating teams is yet undecided. The question numbers are labeled as Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9 and Q10.Since the number of participating teams is not decided, it was decided to form sets from these 10 questions with the restriction that each set must have at least two questions.However the selection of questions for any set was subject to following restrictions:1. Q1 and Q8 must be in the same set.2. Q8 and Q5 cannot be in the same set.3. Q2 and Q6 cannot be in the same set.4. Q9, Q2 and 0 4 if selected must be in the same set.5. Q3 and Q10 must appear in the set together.6. Q1 and Q3 cannot be in the same set.Additional information for Q.1 and Q.2:All the sets formed have 4 questions each.Q.How many sets of four questions can be formed?Correct answer is '6'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.For a certain quiz, 10 questions have been short listed but the number of participating teams is yet undecided. The question numbers are labeled as Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9 and Q10.Since the number of participating teams is not decided, it was decided to form sets from these 10 questions with the restriction that each set must have at least two questions.However the selection of questions for any set was subject to following restrictions:1. Q1 and Q8 must be in the same set.2. Q8 and Q5 cannot be in the same set.3. Q2 and Q6 cannot be in the same set.4. Q9, Q2 and 0 4 if selected must be in the same set.5. 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