Find the number of students at a college taking at least one of the languagesFrench, German and Russian from t?
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Find the number of students at a college taking at least one of the languages
French, German and Russian from the following data:
65 study French, 20 study French and German, 45 study German, 25 study French and Russian, 42 study Russian, 15 study German and Russian while 8 study all three languages.
100…..<<<<<…..Answer
……..F only..28
……..G only..18
……..R only..10
F & G only…12
F & R only…17
R & G only….7
F&G&R………8
———————-
Total ………100
To see the Venn Diagram relevant to this problem, click on the following link: (G is for German, etc.)
http://i369.photobucket.com/albums/oo133/gerryrains/Languages_Venn_Diagram.jpg
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100…..<<<<<…..Answer
……..F only..28
……..G only..18
……..R only..10
F & G only…12
F & R only…17
R & G only….7
F&G&R………8
———————-
Total ………100
To see the Venn Diagram relevant to this problem, click on the following link: (G is for German, etc.)
http://i369.photobucket.com/albums/oo133/gerryrains/Languages_Venn_Diagram.jpg
.
.
References :
Study at least french = 65
Of the 65, 20 study German too…
Of the 65, 25 study Russian
Russian = 42
15 = German and Russian…
8 study all…
German = 45 ; 20 study french too…
Edit: There's a lot of information in this problem that overlaps.
I'm going to redo this step by step…
French only: Total french - FG only - FR only - all 3
65-12-17-8 = 28
German only: 45-12-7-8 = 18
Russian only: =42-17-7 - 8 = 10
FG only: 20 - 8 = 12
FR only: 25-8 = 17
GR only: 15-8 = 7
All 3: 8
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……………………………..100 total students taking a foreign language… I agree with the other post.
References :