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# PS (Counting Methods)

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Senior Manager
Joined: 22 Sep 2005
Posts: 269

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13 Dec 2008, 11:04
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A student has to answer 7 out of 10 questions in an examination. If at least 3 of the first 5 questions have to be answered, how many ways can the questions be answered?

A) 20
B) 30
C) 110
D) 40
E) 10

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Joined: 07 Nov 2007
Posts: 1728
Location: New York

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13 Dec 2008, 11:17
netcaesar wrote:
A student has to answer 7 out of 10 questions in an examination. If at least 3 of the first 5 questions have to be answered, how many ways can the questions be answered?

A) 20
B) 30
C) 110
D) 40
E) 10

5C3*5C4 + 5C4*5C3+5C5*5C2
= 10*5 + 5*10 + 1*10 =110

C
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SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York

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13 Dec 2008, 12:12
scthakur wrote:
x2suresh, I think you meant C.

You are right.. thanks. I modified the original post.

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: PS (Counting Methods) &nbs [#permalink] 13 Dec 2008, 12:12
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