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# Students are in clubs as follows: Science-20, Drama-30

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Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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20 Sep 2013, 15:34
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Students are in clubs as follows: Science-20, Drama-30, and Band-12. No student is in all three clubs, but 8 are in both Science and Drama, 6 are in both Science and Band, and 4 are in Drama and Band.

How many different students are in at least one of the three clubs?

A. 36
B. 38
C. 42
D. 44
E. 48
[Reveal] Spoiler: OA

Last edited by jlgdr on 09 Feb 2014, 07:15, edited 2 times in total.
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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20 Sep 2013, 16:03
jlgdr wrote:
Students are in clubs as follows: Science-20, Drama-30, and Band-12. No student is in all three clubs, but 8 are in both Science and Drama, 6 are in both Science and Band, and 4 are in Drama and Band.

How many different students are in at least one of the three clubs?

The formula for this problem is:
Total students = S + D + B - (sum of 2-group overlaps) + (all three)
Total students = 20 + 30 + 12 - (6 + 8 + 4) + 0 = 44 students.

Hope it helps
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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20 Sep 2013, 16:30
jlgdr wrote:
Students are in clubs as follows: Science-20, Drama-30, and Band-12. No student is in all three clubs, but 8 are in both Science and Drama, 6 are in both Science and Band, and 4 are in Drama and Band.

How many different students are in at least one of the three clubs?

Hope it helps.
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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04 Oct 2014, 08:50
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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22 Oct 2014, 02:27
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Students are in clubs as follows: Science-20, Drama-30, and Band-12. No student is in all three clubs, but 8 are in both Science and Drama, 6 are in both Science and Band, and 4 are in Drama and Band.

How many different students are in at least one of the three clubs?

Actually they are asking total number of students in these clubs......

Refer Venn diagram below:

Attachment:

ove.png [ 5.61 KiB | Viewed 1327 times ]

Total = 20 + 2 + 4 + 18 = 44

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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink]

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20 Oct 2016, 11:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Students are in clubs as follows: Science-20, Drama-30   [#permalink] 20 Oct 2016, 11:50
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