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 \((A - B) \cap B\) where \(A = \{a, e, i, o, u\}\) and \(B = \{b, c, d\}\).

### Step-by-Step Solution:

1. **Identify the sets**:
- Set \(A = \{a, e, i, o, u\}\)
- Set \(B = \{b, c, d\}\)

2. **Calculate \(A - B\)**:
- The operation \(A - B\) (or the difference of sets) means we take all elements from set \(A\) that are not in set \(B\).
- Since there are no common elements between \(A\) and \(B\), all elements of \(A\) remain.
- Therefore, \(A - B = \{a, e, i, o, u\}\).

3. **Find the intersection \((A - B) \cap B\)**:
- Now we need to find the intersection of the set \(A - B\) with set \(B\).
- The intersection of two sets consists of elements that are common to both sets.
- Since \(A - B = \{a, e, i, o, u\}\) and \(B = \{b, c, d\}\), there are no common elements between these two sets.
- Therefore, \((A - B) \cap B = \emptyset\) (the empty set).

### Final Result:
\[ (A - B) \cap B = \emptyset \]