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In a exam paper 1st section contains 10 questions each with 5 choices and  second section contains 5 questions each with 4 choices. In how manydifferent ways can the paper be answered if all the questions are attempted.
  • a)
    105 × 45
  • b)
    5
    10
     × 45
  • c)
    510 × 54
  • d)
    105 × 54
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a exam paper 1st section contains 10 questions each with 5 choices ...
Answer – B. 510 × 45
Explanation :
10 questions with 5 choices = 510 
20 questions with 4 choices =  45
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Most Upvoted Answer
In a exam paper 1st section contains 10 questions each with 5 choices ...
Answer – B. 510 × 45
Explanation :
10 questions with 5 choices = 510 
20 questions with 4 choices =  45
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Community Answer
In a exam paper 1st section contains 10 questions each with 5 choices ...
The first section can be answered in $5^{10}$ ways, since there are 5 choices for each of the 10 questions. The second section can be answered in $4^5$ ways. Therefore, the total number of ways the paper can be answered is $5^{10} \cdot 4^5$, which is approximately equal to $\boxed{1.07 \times 10^{12}}$.
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