(Solved): Use the Venn diagram and the given conditions to determine the number of elements in each region, ...

Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet. \[ n(U)=50, n(A)=23, n(B)=30, n(C)=25, n(A \cap B)=14, n(A \cap C)=10, n(B \cap C)=17, n(A \cap B \cap C)=8 \] First decide whether or not the conditions are possible to meet. Select the correct choice below and fill in the answer box(es) within your choice. A. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are \( \square, \square, \square, \square, \square, \square, \square \), respectively.