Question

Sabendo que: n (U) = 100, n (A) = 30, n(B) = 25, n (c) = 36,n(A ∩ B)= 6, n (A ∩ C) = 10, n (B ∩ C) = 14 e n (A ∩ B ∩ C) = 4, determine n (A ∩ B ∩ C)

Answer 1

n(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(A ∩ C) - n(B ∩ C) + n(A ∩ B ∩ C)

n(A U B U C) = 30 +25+ 36 - 6 - 10 - 14 + 4

$\boxed{\boxed{\mathsf{n(A\cup\,B\cup\,C)=65}}}$