Suppose a designer has a palette of 6 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?

Step 1 ：Suppose a designer has a palette of 6 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.

Step 2 ：This is a permutation problem. The designer has 6 options for the first stripe, 5 options for the second stripe (since it can't be the same color as the first), 4 options for the third stripe, and 3 options for the fourth stripe.

Step 3 ：So, the total number of possible flags is the product of these options, which is calculated as \(6 \times 5 \times 4 \times 3\).

Step 4 ：By calculating the above expression, we get the total number of possible flags as 360.

Step 5 ：Final Answer: The total number of possible flags that can be created is \(\boxed{360}\).