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# exam

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exam [#permalink]  06 Dec 2007, 05:34
In an examination a student can answer in 56 ways. if the number of questions asked exceeds the number of questions to be answered by 2, then how many questions were to be answere?

A. 6
B. 8
C. 4
D. 2
E. 5

Amar
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Re: exam [#permalink]  06 Dec 2007, 06:47
Amardeep Sharma wrote:
In an examination a student can answer in 56 ways. if the number of questions asked exceeds the number of questions to be answered by 2, then how many questions were to be answere?

A. 6
B. 8
C. 4
D. 2
E. 5

Amar

If n is the number of questions asked, and the student is allowed to omit two questions, then the number of possible examination answers is n(n-1). The student has n choices for the first omitted question, and n-1 choices for the second. So n(n-1) = 56, and n = 8. But the question wants the number to be answered, not the number asked, so subtract 2. The answer is A.
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Re: exam [#permalink]  06 Dec 2007, 13:12
Amardeep Sharma wrote:
In an examination a student can answer in 56 ways. if the number of questions asked exceeds the number of questions to be answered by 2, then how many questions were to be answere?

A. 6
B. 8
C. 4
D. 2
E. 5

Amar

A. 8P6=8!/6!=56. 8 is the number of questions asked, 6 is the number of questions to be answered
Re: exam   [#permalink] 06 Dec 2007, 13:12
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