languages

[ritula]

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

[manulath]

is ans 0?

[ritula]

Yes it is . Kindly explain

is ans 0?

[mals24]

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

[ritula]

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.

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

[mals24]

@ ritula

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

Thanks for telling

[stop@800]

Also,
the neither is 0 here

because
Each student studies at least 1 language.