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languages

by ritula » Sun Sep 21, 2008 2:44 am
6 students in a group study different languages as specified:

Russian: 4
Ukrainian: 3
Hebrew: 2
Each student studies at least 1 language. It is also known that exactly 3 students learn exactly 2 languages. How many students are studying all languages?

0
1
2
3
4
Philosophers have interpreted world in various ways, the point is to change it!
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by manulath » Sun Sep 21, 2008 3:33 am
is ans 0?
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by ritula » Sun Sep 21, 2008 3:34 am
Yes it is . Kindly explain
manulath wrote:is ans 0?
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by mals24 » Sun Sep 21, 2008 3:42 am
The set formula is

Total = A+B+C+2(ABC)-(AB+BC+CA)

Inputting your values you get

6 = 4+3+2-3+2ABC

2ABC = Total - A - B - C + (AB+BC+CA) = 6 - 4 - 3 - 2 + 3 = 0

2ABC = 0
ABC = 0

Answer is A
Last edited by mals24 on Sun Sep 21, 2008 4:28 am, edited 1 time in total.
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confused

by ritula » Sun Sep 21, 2008 4:04 am
I am very confused. In an earlier set problem (https://www.beatthegmat.com/percentage-t ... 4b4836ea0b),

I was told that for a set of overlapping problem, the formula is as below:
Total =Group 1+Group 2 +Group 3 -(Any 2) -2 *All +Neither
Please help where to use which formula.
mals24 wrote:The set formula is

Total = A+B+C+(ABC)-(AB+BC+CA)

Inputting your values you get

6 = 4+3+2-3+ABC

ABC = Total - A - B - C + (AB+BC+CA) = 6 - 4 - 3 - 2 + 3 = 0

Answer is A
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by mals24 » Sun Sep 21, 2008 4:27 am
@ ritula

Thanks for pointing out i forgot to multiply 2 with ABC
Ive edited the post now

Thanks for telling :)
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by stop@800 » Sun Sep 21, 2008 12:41 pm
Also,
the neither is 0 here

because
Each student studies at least 1 language.
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