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In a class test there are 5 questions. One question has been taken from each of the 4 chapters. The first two chapters have 3 questions each and the last two chapters have 6 questions each. The fourth question can be picked from any of the chapters. How many different question papers could have been prepared? 
  • a)
    540 
  • b)
    1260 
  • c)
    1080 
  • d)
    400 
  • e)
    4860
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
In a class test there are 5 questions. One question has been taken fro...
Question Analysis:
- Total number of questions = 5
- One question from each of the 4 chapters
- First two chapters have 3 questions each
- Last two chapters have 6 questions each
- Fourth question can be from any chapter
- Number of different question papers possible?

Solution:
To find the total number of different question papers, we need to calculate the number of options for each question and then multiply them together.

1. Options for the first question:
Since the first question has to be from the first chapter, there are 3 options.

2. Options for the second question:
Since the second question has to be from the second chapter, there are 3 options.

3. Options for the third question:
Since the third question has to be from the third chapter, there are 6 options.

4. Options for the fourth question:
Since the fourth question can be from any chapter, there are 18 options (3 from each chapter).

5. Options for the fifth question:
Since the fifth question has to be from the fourth chapter, there are 6 options.

Total number of different question papers = (3 x 3 x 6 x 18 x 6) = 4860

Therefore, the correct answer is option E (4860).
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In a class test there are 5 questions. One question has been taken from each of the 4 chapters. The first two chapters have 3 questions each and the last two chapters have 6 questions each. The fourth question can be picked from any of the chapters. How many different question papers could have been prepared?a)540b)1260c)1080d)400e)4860Correct answer is option 'E'. Can you explain this answer?
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