Question: A woman has four hats, three blouses, five skirts, two handbags and six pairs of shoes. In how many ways can she be attired, assuming that she wears one of each item?
1. **State the problem:** We need to find the total number of ways a woman can be attired if she wears exactly one hat, one blouse, one skirt, one handbag, and one pair of shoes.
2. **Formula used:** When choosing one item from each category independently, the total number of combinations is the product of the number of choices in each category.
3. **Apply the formula:**
$$\text{Total ways} = 4 \times 3 \times 5 \times 2 \times 6$$
4. **Calculate step-by-step:**
$$4 \times 3 = 12$$
$$12 \times 5 = 60$$
$$60 \times 2 = 120$$
$$120 \times 6 = 720$$
5. **Final answer:**
The woman can be attired in $$\boxed{720}$$ different ways.