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Question

Out of 100 students 15 passed in English 12 passed in Mathematics, 8 Science, 4 in English and Science in all the three. Find how many passed in English and Mathematics but not in Science

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Solution

Given n(u)=100
n(E)=15,
n(M)=12,
n(S)=8
n(EM)=6,n(MS)=7,
n(ES)....4,andn(EMS)=4
a=n(EMS)=4
a+d=n(MS)=7
d=3
a+b=n(ME)=6
b=2
a+c=n(SE)=4
c=0
a+b+d+e=n(M)=12
4+2+3+e=12
e=3
a+b+c+g=15
4+2+0+g=n(E)=15
g=9
a+c+d+f=n(S)=8
4+0+3+f=8
f=1
The number of students passed in English and Mathematics but not in science b=2


1239735_1329453_ans_4043578f65da4e5cae1797ca17deaa10.JPG

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