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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

    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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