If `A={a,e,I,o,u}`, `B={b,c,d}`, then find `(A-B)nnB`.

Answer

To solve the problem, we need to find the set operation \((A - B) \cap B\).

### Step 1: Identify the sets
Given:
- \( A = \{a, e, i, o, u\} \)
- \( B = \{b, c, d\} \)

### Step 2: Calculate \( A - B \)
The operation \( A - B \) means we need to remove any elements from set \( A \) that are also in set \( B \).

1. Check each element of \( A \):
- Is \( a \) in \( B \)? No.
- Is \( e \) in \( B \)? No.
- Is \( i \) in \( B \)? No.
- Is \( o \) in \( B \)? No.
- Is \( u \) in \( B \)? No.

Since none of the elements in \( A \) are in \( B \), we have:
\[ A - B = A = \{a, e, i, o, u\} \]

### Step 3: Calculate \((A - B) \cap B\)
Now, we need to find the intersection of \( A - B \) with \( B \):
\[ (A - B) \cap B = \{a, e, i, o, u\} \cap \{b, c, d\} \]

1. Check each element of \( A - B \):
- Is \( a \) in \( B \)? No.
- Is \( e \) in \( B \)? No.
- Is \( i \) in \( B \)? No.
- Is \( o \) in \( B \)? No.
- Is \( u \) in \( B \)? No.

Since there are no common elements between \( A - B \) and \( B \), we have:
\[ (A - B) \cap B = \emptyset \]

### Final Answer
Thus, the result of \((A - B) \cap B\) is:
\[ \emptyset \]