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# There are six books on a shelf. In how many ways no more

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There are six books on a shelf. In how many ways no more [#permalink]

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14 Aug 2003, 00:00
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

There are six books on a shelf. In how many ways no more than three books can be taken from the six?

I anticipate an interesting discussion.
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14 Aug 2003, 00:15
stolyar wrote:
There are six books on a shelf. In how many ways no more than three books can be taken from the six?

I anticipate an interesting discussion.

1C6+2C6+3C6=6+15+20=41

Right?
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14 Aug 2003, 01:18
it is a void set of combinations, conforming to the initial question stem -- no more than 3 books. In other words, we can take none by the sole way.

Therefore, maybe 42?
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14 Aug 2003, 02:13
stolyar wrote:
it is a void set of combinations, conforming to the initial question stem -- no more than 3 books. In other words, we can take none by the sole way.

Therefore, maybe 42?

Commmmonnnn!!!!!

We are on GMAT forum, not PhysTech forum!!!!!
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14 Aug 2003, 03:27
I am seriuos!!! Should we add 6C0?
I myself do not know for sure, but it seems to me that we should.
GMAT Instructor
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14 Aug 2003, 06:12
stolyar wrote:
I am seriuos!!! Should we add 6C0?
I myself do not know for sure, but it seems to me that we should.

I believe that it should count too unless the question specifically states that at least one book is taken. Having said that, I would be inclined to use language that make it clear what to do if my intent was not to be too tricky.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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# There are six books on a shelf. In how many ways no more

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