Answer: There are 720 ways to do so.
Step-by-step explanation:
Since we have given that
Number of spaces in a flagpole = 10
Number of types of flag = 3
Number of spaces for red flag = 1
Number of spaces for green flag = 1
Number of spaces for blue flag = 1
We will use "Fundamental theorem of counting":
So, Number of ways that the 10 spaces of the flagpole can be covered with flags such that no spaces is empty is given by
![10\times 9\times 8\\\\=720](https://tex.z-dn.net/?f=10%5Ctimes%209%5Ctimes%208%5C%5C%5C%5C%3D720)
Hence, there are 720 ways to do so.