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

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stolyar
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There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 01:00
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.



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Re: There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 01:15
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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Re: There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 02:18
what about 6C0?
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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Re: There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 03:13
stolyar wrote:
what about 6C0?
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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Re: There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 04:27
I am seriuos!!! Should we add 6C0?
I myself do not know for sure, but it seems to me that we should.
Comments, please.
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Re: There are six books on a shelf. In how many ways no more [#permalink] New post   14 Aug 2003, 07:12
stolyar wrote:
I am seriuos!!! Should we add 6C0?
I myself do not know for sure, but it seems to me that we should.
Comments, please.


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.



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Re: There are six books on a shelf. In how many ways no more [#permalink]
14 Aug 2003, 07:12
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