In a survey of population of 450 people, it is found that 205 can speak English, 210 can speak Hindi and 120 people can speak Tamil. If 100 people can speak both Hindi and English; 80 people can speak both English and Tamil, 35 people can speak Hindi and Tamil and 20 people can speak all the three languages, find the number of people who can speak English but not a Hindi or Tamil. Find also the number of people who can speak neither English nor Hindi nor Tamil.
Text Solution
Verified by Experts110
(110)
………… (i)
…… (ii)
……… (iii)
………… (iv)
……… (v)
……… (vi)
……… (vii)

From Eqs. (vi) and (vii),
From Eqs. (vii) and (v),
From Eqs. (vii) and (iv),
From Eq. (i),
Can speak English but not Hindi or Tamil.
From Eq. (ii) 

From Eq. (iii), 

People who can speak neither
nor
nor 


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