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Question

In the survey of population of 600 student . it is found that 250 can be speck English (E), 210 can speck Hindi(H), 120 speck can be Tamil(T) If 100 people can speck both E and H , 80 can be speck both E and T , 5 can be speck both H and T , 20 can be speck all three langauges , find the number of people who can speck E but not H or T . Find also the number of the people who can speck neither E nor H nor T.

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Solution

Number of students who can speak both E and H=100
Number of students who can speak both E and T=80
Total number of Students who can speak all H,E,T=20
Total number of students who can speak E=250

Hence, total number of students who can speak only E but not H or T=25010080=70

Total student =600
Total number of students who can speak H=210
Total number of students who can speak E=250
Total number of students who can speak T=120

Total number of students who can speak neither E nor H nor T=60025021012020

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