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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] New post 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] New post 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.

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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink] New post 20 Sep 2013, 16:30
Expert's post
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?


ADVANCED OVERLAPPING SETS PROBLEMS: advanced-overlapping-sets-problems-144260.html

Hope it helps.
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink] New post 04 Oct 2014, 08:50
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Re: Students are in clubs as follows: Science-20, Drama-30 [#permalink] New post 22 Oct 2014, 02:27
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
ove.png [ 5.61 KiB | Viewed 506 times ]


Total = 20 + 2 + 4 + 18 = 44

Answer = D
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Re: Students are in clubs as follows: Science-20, Drama-30   [#permalink] 22 Oct 2014, 02:27
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