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# The subset of {2,3,6} are

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The subset of {2,3,6} are [#permalink]  20 Sep 2008, 11:17
The subset of {2,3,6} are {2},{3},{6},{2,3},{26},{3,6},{2,3,6},how many subsets does {2, 4, 6, 8} have?
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Re: Set Theory [#permalink]  20 Sep 2008, 11:24
4C1 + 4C2 + 4C3 + 4C4 = 4 + 6 + 4 + 1 = 17
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Re: Set Theory [#permalink]  20 Sep 2008, 12:10
asdert wrote:
4C1 + 4C2 + 4C3 + 4C4 = 4 + 6 + 4 + 1 = 17

I actually started counting by enumerating. I agree your solution is a better approach
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Re: Set Theory [#permalink]  20 Sep 2008, 22:51
asdert wrote:
4C1 + 4C2 + 4C3 + 4C4 = 4 + 6 + 4 + 1 = 17

Good One !!!
I never get permutations and combinations and probabilty thanks for claryfying
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Re: Set Theory [#permalink]  28 Sep 2008, 09:35
(4c1)+(4c2)+(4c3)+(4c4)= 4+6+4+1=15
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Re: Set Theory [#permalink]  28 Sep 2008, 09:55
the calculations show 15 as the answer
what are the remaining 2 values for
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Re: Set Theory [#permalink]  28 Sep 2008, 10:56
nikhiljain05 wrote:
the calculations show 15 as the answer
what are the remaining 2 values for

I believe it was a mistake in addition. I did not notice it previously as I looked at the logic and I agreed with it.

If the subsets were not enumerated, we should have considered the null set, which is also a subset of any set.
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Re: Set Theory [#permalink]  28 Sep 2008, 11:04
In Set Theory for every set {a1,a2... an} there are 2^n of subsets (power set).

In Set Theory {empty set} is also considerd a subset of {a1,a2.... an}

2^4-1 = 15

Re: Set Theory   [#permalink] 28 Sep 2008, 11:04
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