Use the given information to fill in the number of elements for each region in the Venn diagram. \[ \begin{array}{l} n(A)=16, n(B)=15 \\ n(A \cap B)=11, n\left(A^{\prime}\right)=32 \end{array} \] The number in place of $x$ should be $\square$.

Step 1 ：Given that the total number of elements in set A, denoted as \(n(A)\), is 16 and in set B, denoted as \(n(B)\), is 15.

Step 2 ：The number of elements in the intersection of A and B, denoted as \(n(A \cap B)\), is 11.

Step 3 ：The number of elements not in A, denoted as \(n(A')\), is 32.

Step 4 ：The number of elements in A but not in B is given by \(n(A) - n(A \cap B)\), which is \(16 - 11 = 5\).

Step 5 ：The number of elements in B but not in A is given by \(n(B) - n(A \cap B)\), which is \(15 - 11 = 4\).

Step 6 ：The number of elements in both A and B is given by \(n(A \cap B)\), which is 11.

Step 7 ：The number of elements not in A or B is given by \(n(A') - (n(A) - n(A \cap B))\), which is \(32 - (16 - 11) = 27\).

Step 8 ：Final Answer: The number of elements in each region of the Venn diagram is as follows:

Step 9 ：- The number of elements in A but not in B is \(\boxed{5}\).

Step 10 ：- The number of elements in B but not in A is \(\boxed{4}\).

Step 11 ：- The number of elements in both A and B is \(\boxed{11}\).

Step 12 ：- The number of elements not in A or B is \(\boxed{27}\).