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jlgdr
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Students are in clubs as follows: Science-20, Drama-30 Updated on: 09 Feb 2014, 08:15
Originally posted by jlgdr on 20 Sep 2013, 16:34.
Last edited by jlgdr on 09 Feb 2014, 08:15, edited 2 times in total.
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87% (01:52) correct 13% (02:16) wrong based on 459 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
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D
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Students are in clubs as follows: Science-20, Drama-30 20 Sep 2013, 17:03
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jlgdr
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?
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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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Students are in clubs as follows: Science-20, Drama-30 20 Sep 2013, 17:30
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jlgdr
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?
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ADVANCED OVERLAPPING SETS PROBLEMS: advanced-overlapping-sets-problems-144260.html

Hope it helps.
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Students are in clubs as follows: Science-20, Drama-30 22 Oct 2014, 03:27
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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
ove.png [ 5.61 KiB | Viewed 9502 times ]

Total = 20 + 2 + 4 + 18 = 44

Answer = D
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Students are in clubs as follows: Science-20, Drama-30 20 Feb 2021, 06:31
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At least = Science + Drama + Band + All three - Both Science and Drama - Both Science and Band - Both Drama and Band

At least = 20 + 30 + 12 + 0 - 8 - 6 - 4

At least = 44

Answer D
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Students are in clubs as follows: Science-20, Drama-30 22 May 2021, 03:06
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Total = 20 + 30 + 12 - 8 -6 - 4 = 44
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Students are in clubs as follows: Science-20, Drama-30 23 Oct 2024, 07:33
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