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12 Dec 2013, 05:46
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D
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Difficulty:
55%
(hard)
Question Stats:
56% (01:46) correct
44%
(01:11)
wrong
based on 9
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Date
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Not Attempted Yet
In a multiple choice test there are 65 questions each having 5 options, which are equally likely. In how many ways can a student attempt the questions in the test?
A) 65^4
B) 65^4+1
C) 5^65 - 1
D) 6^65 -1
E) 6^65 +1
Source - Raw Steward "Ultimate guide to GMAT math"
A) 65^4
B) 65^4+1
C) 5^65 - 1
D) 6^65 -1
E) 6^65 +1
Source - Raw Steward "Ultimate guide to GMAT math"
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14 Dec 2013, 03:58
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calmkeeper
Because the student do take the test, she/he must give at least 1 answer (if she/he does not give any answer, then we can not say that she/he attempt the question in the test).
Assume that the students can only give at most 1 answer for each question.
Therefore, for each question, the student has 6 choices: 5 options + "do nothing" option. Since there are 65 questions, totally there are 6^65 -1 ways (minus 1 way that the student does nothing at all)....
The answer is D
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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