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

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SVP
Joined: 03 Feb 2003
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There are six books on a shelf. In how many ways no more [#permalink]  14 Aug 2003, 00:00
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.
Manager
Joined: 11 Jun 2003
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Re: PROB+ [#permalink]  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?
SVP
Joined: 03 Feb 2003
Posts: 1608
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Kudos [?]: 76 [0], given: 0

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?
Manager
Joined: 11 Jun 2003
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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!!!!!
SVP
Joined: 03 Feb 2003
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I am seriuos!!! Should we add 6C0?
I myself do not know for sure, but it seems to me that we should.
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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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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