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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.

Hope it helps
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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] 20 Sep 2013, 16:30
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