In a survey of 100 student, the number studying the various languages were found to be ,English only 18, English but not hindi 23, English and sanskrit 8,english 26, sanskrit 48,sanskrit and hindi 8 number of language 24, find (1) how many student were studying hindi (2) how many student were studying hindi
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Total students=100
Only English =18
English but not hindi=23
English & sanskrit=8
English =26, sanskrit−48
Sanskrit & Hindi =8
No language =24
from above diagram we can see that no. of students studying Hindi=10+5+3
=18
No. of students studying English and Hindi=3.
E-English, H-Hindi, S-Sanskrit
We have,
Only English = a=18
English but not hindi = a+d=23
English & sanskrit = d+e=8
English = a+b+d+e=26
d+e+f+g=48
a+b+c+d+e+f+g=100−24=76
∴a=18,b=0,c=10,d=5,e=3,f=5 and g=35
n(H∩E)=b+e=3.
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