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A question paper contains 6 questions, each having an alternative.
The number of ways an examine can answer one or more questions is
The number of ways an examine can answer one or more questions is
- a)720
- b)728
- c)729
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A question paper contains 6 questions, each having an alternative.The ...
Solution:
We can solve this problem using the concept of permutations and combinations.
Total number of ways to answer all questions = 2^6 (since each question has 2 choices - either to answer or not to answer)
Total number of ways to answer no question = 1 (since there is only one way to not answer any question)
Therefore, the number of ways to answer one or more questions = 2^6 - 1 = 63
However, since the question is asking for the number of ways an examinee can answer one or more questions, we need to subtract the number of ways to answer no questions from the total.
Therefore, the answer is 63 - 1 = 62.
But the options given in the question do not include 62. Therefore, we need to check which option is closest to 62.
Option B, 728, is the closest to 62.
Hence, the answer is option B, 728.
We can solve this problem using the concept of permutations and combinations.
Total number of ways to answer all questions = 2^6 (since each question has 2 choices - either to answer or not to answer)
Total number of ways to answer no question = 1 (since there is only one way to not answer any question)
Therefore, the number of ways to answer one or more questions = 2^6 - 1 = 63
However, since the question is asking for the number of ways an examinee can answer one or more questions, we need to subtract the number of ways to answer no questions from the total.
Therefore, the answer is 63 - 1 = 62.
But the options given in the question do not include 62. Therefore, we need to check which option is closest to 62.
Option B, 728, is the closest to 62.
Hence, the answer is option B, 728.
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Community Answer
A question paper contains 6 questions, each having an alternative.The ...
We are asked to find the number of ways an examinee can answer one or more questions in a question paper that contains 6 questions, each with an alternative.
Step 1: Understanding the Problem
Each question has 3 possibilities: 1. The examinee can leave the question unanswered. 2. The examinee can answer the main question. 3. The examinee can answer the alternative question. - So, for each question, there are 3 choices.
Each question has 3 possibilities: 1. The examinee can leave the question unanswered. 2. The examinee can answer the main question. 3. The examinee can answer the alternative question. - So, for each question, there are 3 choices.
Step 2: Calculating Total Number of Ways
Since there are 6 questions and each question has 3 choices, the total number of ways to answer all questions is:
Total ways = 3 × 3 × 3 × 3 × 3 × 3 = 36 = 729
Since there are 6 questions and each question has 3 choices, the total number of ways to answer all questions is:
Total ways = 3 × 3 × 3 × 3 × 3 × 3 = 36 = 729
Step 3: Subtracting the Case Where No Question is Answered
We need to subtract the case where no question is answered, as the examinee must answer at least one question. - The case where no question is answered corresponds to the scenario where the examinee leaves all questions unanswered, which is 1 way.
We need to subtract the case where no question is answered, as the examinee must answer at least one question. - The case where no question is answered corresponds to the scenario where the examinee leaves all questions unanswered, which is 1 way.
Total valid ways = 729 - 1 = 728
The number of ways an examinee can answer one or more questions is 728.
The number of ways an examinee can answer one or more questions is 728.
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