2. In a group of 450 people, 200 speak Hindi only and 180 speak English only. If each person speak at least
one language then,
(i) How many can speak English?
(ii) How many can speak Hindi?
(iii) How many can speak both English and Hindi?
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Answer: English = 250
Hindi but no English = 70
Hindi and English = 450
Step-by-step explanation:
n(h) = n(only H) + n(only E) + n(H∩E) = 270
n(H∩E) = 70
n(H U E) = n(only H) + n(only E) + n(H∩E) = 450 = 200 + 180 + n(H∩E)
450 - 380 = N(H∩E)
N(H∩E) = 70
N(E) = n(only E) + n(H∩E) = 180 + 70 = 250
N(H U E) = 450
n(only hindi) = n(H) - n(H∩E) ; 200 = n(h) - n(H∩E)
n(only english) =n(E) - n(H∩E)
n( H U E) = n(only hindi) + n(only english) + n(H∩E)
Hope this helps!! Sorry if the typing is a bit un-understandable
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