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In a multiple choice question, there are 4 alternatives, of which one or more are correct. The number of ways in which a candidate can attempt this question is

  • a)
    4

  • b)
    25

  • c)
    16

  • d)
    none of these

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In a multiple choice question, there are 4 alternatives, of which one ...
To solve this problem, we need to calculate the total number of ways a candidate can attempt the multiple-choice question where there are 4 alternatives, and one or more can be correct.


Step 1: Consider each alternative


Each of the 4 alternatives can either be:



  1. Selected (included in the answer)

  2. Not selected (excluded from the answer)



So, for each alternative, there are 2 choices (select or not select).


Step 2: Calculate the total number of combinations


If there were no restrictions (i.e., selecting none is allowed), the total number of combinations would be 24=16


Step 3: Subtract the invalid case


Since at least one alternative must be selected (one or more are correct), we subtract the one case where none of the alternatives are selected:


24−1=16−1=15
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In a multiple choice question, there are 4 alternatives, of which one ...
Number of ways to attempt the multiple-choice question

To solve this problem, we need to consider the number of ways a candidate can attempt this multiple-choice question with 4 alternatives, where one or more may be correct.

The question does not specify the number of correct alternatives or the number of correct answers required. Therefore, we will consider all possible combinations.

Understanding the question

The question states that there are 4 alternatives, and one or more of them can be correct. It is important to note that we do not know the exact number of correct alternatives or the number of correct answers required. This means that we need to consider all possible combinations.

Possible combinations

To calculate the number of ways, we need to consider all possible combinations of choosing 1, 2, 3, or 4 alternatives.

- Choosing 1 alternative: There are 4 ways to choose 1 alternative.
- Choosing 2 alternatives: There are 6 ways to choose 2 alternatives (4C2 = 6).
- Choosing 3 alternatives: There are 4 ways to choose 3 alternatives (4C3 = 4).
- Choosing 4 alternatives: There is 1 way to choose all 4 alternatives (4C4 = 1).

Total number of ways

To find the total number of ways, we sum up the number of ways for each case:

Total number of ways = 4 + 6 + 4 + 1 = 15

Therefore, the correct answer is "none of these" (option D), as none of the given options match the calculated total number of ways.

Conclusion

In this multiple-choice question with 4 alternatives, the number of ways a candidate can attempt the question can be found by considering all possible combinations. By summing up the number of ways for each case, we find that the correct answer is "none of these" (option D).
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In a multiple choice question, there are 4 alternatives, of which one or more are correct. The number of ways in which a candidate can attempt this question isa)4b)25c)16d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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