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

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Senior Manager
Joined: 05 Jun 2008
Posts: 294
The subset of {2,3,6} are [#permalink]

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20 Sep 2008, 12:17
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?
Senior Manager
Joined: 09 Oct 2007
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20 Sep 2008, 12:24
4C1 + 4C2 + 4C3 + 4C4 = 4 + 6 + 4 + 1 = 17
VP
Joined: 30 Jun 2008
Posts: 1019

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20 Sep 2008, 13:10
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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Joined: 17 Jun 2008
Posts: 1325

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20 Sep 2008, 23:51
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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Manager
Joined: 28 Apr 2008
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28 Sep 2008, 10:35
(4c1)+(4c2)+(4c3)+(4c4)= 4+6+4+1=15
Intern
Joined: 22 Jul 2008
Posts: 40

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28 Sep 2008, 10:55
the calculations show 15 as the answer
what are the remaining 2 values for
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Joined: 05 Jul 2008
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28 Sep 2008, 11:56
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.
Manager
Joined: 27 Sep 2008
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28 Sep 2008, 12:04
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, 12:04
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# The subset of {2,3,6} are

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