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

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Joined: 06 Sep 2013
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Concentration: Finance
Students are in clubs as follows: Science-20, Drama-30  [#permalink]

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Updated on: 09 Feb 2014, 07:15
2
6
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:49) correct 15% (02:43) wrong based on 142 sessions

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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

Originally posted by jlgdr on 20 Sep 2013, 15:34.
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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22 Oct 2014, 02:27
2
1
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 2609 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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10 Mar 2018, 00:03
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Re: Students are in clubs as follows: Science-20, Drama-30   [#permalink] 10 Mar 2018, 00:03
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