Question 905207
*[illustration science.jpg]
18 take none of those course
100-82=18
Since all science students also take math 
there are no science only nor chem and physic
Except for the 18 who take none 
all are in the math circle
since there are 27 physics students they must be in ac and abc
since there are 33 chem students they must be in ac and abc
since there are 82 math students there must be 40 in ab, ac and abc
ab+bc+abc=40
ab  +abc=33
  ac+abc=27

1,1,1,40
1,0,1,33
0,1,1,27

1,0,0,13
0,1,0,7
0,0,1,20
ab=13
ac=7
and abc=20