Question

out of a group of 200 students who know atleast one language, 100 know English, 80 students know kannada , and 70 students know hindi .If 40 students know all three languages find the no of students who know exactly 2 languages

Answer 1

Answer:

The person above me has obtained the wrong answer please follow these steps

Step-by-step explanation:

we know that:

n(AUBUC) = n(A) + n(B) +n(C) - n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C)

here n(A) = 100

n(B) = 80

n(C) = 70

n(AUBUC) = 200

n(A∩B∩C) = 40

substituting we get,

200 = 100 +80 + 70 + 40 -(2 Exact languages)

-90 = -(Exact 2 languages)

Therefore

Exact 2 languages = 90 people

any questions comment below

thank you