In a college, the science department has three disciplines.
In total, 280 students study chemistry, 254 students study
physics and 280 students study biology. 97 students study
both chemistry and physics, 138 students study both physics
and biology, 152 students study both chemistry and biology.
73 students study all three disciplines. Can you determine
how many students there are in the science department?

Answer Posted / megs

500
How?
n(C)=280
n(P)=254
n(B)=280
n(CnP)=97
n(PnB)=138
n(CnB)=152
n(CnPnB)=73
n(CUPUB)=n(C)+n(P)+n(B)-n(CnP)-n(PnB)-n(CnB)+n(CnPnB)
=280+254+280-97-138-152+73
=500

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