There are 60 students studying sciences (biology chemistry and physics) 7 study biology, chemistry and physics. 12 study biology and chemistry. 15 study chemisty and physics. 35 study biology 32 study physics. complete the venn diagram.

Step-by-step explanation:

Draw a three-ring Venn diagram.

7 students study all three subjects, where the three circles overlap.

12 students study biology and chemistry, which includes the 7 who also study physics.  So there are 5 who study biology and chemistry but not physics.

Similarly, 15 students study biology and physics, which includes the 7 who also study chemistry.  So there are 8 who study biology and physics but not chemistry.

And, 20 students study chemistry and physics, which includes the 7 who also study biology.  So there are 13 who study chemistry and physics but not biology.

35 students study biology, which includes the 5 who study chemistry, the 8 who study physics, and the 7 who study both chemistry and physics.  Therefore, there are 15 students who study only biology.

Similarly, 32 students study physics, which includes the 8 who study biology, the 13 who study chemistry, and the 7 who study both biology and chemistry.  Therefore, there are 4 students who study only physics.

Since there's a total of 60 students, there must be 8 students who study only chemistry.

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step-by-step explanation: