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# Unique Overlapping Set Question

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Unique Overlapping Set Question [#permalink]  30 Jan 2011, 18:26
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(N/A)

Question Stats:

100% (06:33) correct 0% (00:00) wrong based on 3 sessions
Hello,

Here's an overlapping set question that I came across and obviously got wrong.

Thanks in advance to anyone who can help me sort this one out!

Attachments

Overlapping Problem.jpg [ 12.62 KiB | Viewed 1357 times ]

Problem.pdf [24.45 KiB]

Intern
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Re: Unique Overlapping Set Question [#permalink]  30 Jan 2011, 18:51
Sorry, the answer is 13. I know that this question can be found in the forum, but I'd like to know if there's a way (such as using the standard overlapping set equation) to attack the problem other than by drawing out each of the three groups!

Thanks so much!
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Re: Unique Overlapping Set Question [#permalink]  31 Jan 2011, 20:26
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Expert's post
m990540 wrote:
Sorry, the answer is 13. I know that this question can be found in the forum, but I'd like to know if there's a way (such as using the standard overlapping set equation) to attack the problem other than by drawing out each of the three groups!

Thanks so much!

You can use the formula for 3 sets:
n(AUBUC) = n(A) + n(B) + n (C) - n(A and B) - n(B and C) - n(C and A) + n(A and B and C)

n(AUBUC) = 8 + 8 + 8 - 5 - 5 -5 + 4 = 13

Though, why would you not try using the Venn diagram for 3 overlapping sets. This question is relatively straight forward so the formula is no problem, but with the Venn diagram, it doesn't matter how much you twist the question, the answer is still apparent....
I am attaching it in case you would like to give it a look...
Attachment:

Ques2.jpg [ 10.5 KiB | Viewed 1295 times ]

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Re: Unique Overlapping Set Question [#permalink]  01 Feb 2011, 02:08
Expert's post
m990540 wrote:
Hello,

Here's an overlapping set question that I came across and obviously got wrong.

Thanks in advance to anyone who can help me sort this one out!

Check this link for different formulas on 3 overlapping sets (theory and examples): formulae-for-3-overlapping-sets-69014.html#p729340

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Re: Unique Overlapping Set Question [#permalink]  01 Feb 2011, 05:50
Wow, thanks for the great explanations and link!
Re: Unique Overlapping Set Question   [#permalink] 01 Feb 2011, 05:50
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