In a survey of 200 students of higher secondary school, it was found that 120 studied Mathematics; 90 studies Physics and 70 studied Chemistry; 40 studied Mathematics and Physics; 3 studied Physics and Chemistry; 50 studied Chemistry and Mathematics and 20 studied none of these subjects. The number of students who studied all the three subjects is 
Text Solution
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(20)
……… (i)
………… (ii)
………… (iii)
……… (iv)
………… (v)
……… (vi)
……. (vii)
From Eqs. (i) and (iv), 
……. (viii)
From Eqs. (ii) and (iv), 
………. (ix)
From Eqs. (iii) and (v), 
………. (x)
from Eqs (viii), (ix) and (x), 
………. (xi)
from (xi), (vii) and (iv), 
From Eq. (vi),
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