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    n (H) = 80
    n (S) = 55
    n (E) = 30

    n (H ∩ S) = 25
    n (H ∩ E) = 15
    n (E ∩ S) = 20

    Calculate the maximum possible no. of students who could be studying all three subjects.
    Calculate the maximum possible no. of students who could be studying none of these three subjects
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    The maximum possible number studying all three subjects must be 15. More than this and we would create a negative entry in the Venn Diagram.

    The minimum studying all three should be 5 which suggests the maximum studying none to be 10.
 
 
 

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