Given: n(A & B) = 16 , n( B& C) = 18 , n (A& C) = 17
n( A& B& C) = ?
only n(A & B) = 16-9 = 7
n(A&B) = only n ( A& B) + n(A & B & C)
16 = 7 + n(A & B & C)
n(A & B & C) = 9
Infact you are given what you want to find.
n(A), n(B), n(C) is given but we don't know :
n (A or B or C) = n(a) + n(b) + n(C) - n(A & B) - n( B& C) - n (A& C) + n(A & B & C)
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