math
posted by dapo .
In a class of 50 student 28,22,20 of them offer physics,chemistry and biology respectively also,4 of them offer physics and chemistry but not biology,3 offer physic and biology but not chemistry,6 offer biology and chemistry but not physics if 13 of them offer physics only how many student in class oFfer.
At least one of the subject
Non of the three subject

math 
shredder
(i) 14 offer physics only.
13 offer chemistry only.
12 offer biology only.
3 offer phy nd chem.
2 offer phy nd biol.
5 offer chem nd biol.
1 offers all the subjects.
(ii) 0 offers none of the subjects. 
math 
Reiny
Filling in the given information in a Venn diagram, I got
8 taking all three subjects
7 taking only Chemistry
6 taking only Biology
These were the only ones that required calculations, the rest were given.
Adding up all the entries in the Venn diagrams only comes to 44, thus of the 50 students 6 take none of the three subjects. 
math 
dapo
Am not getting it
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