Could a half-dragon half-orc take three paragon classes?

[Particle_Man]

Could a half-dragon half-orc take levels in half-dragon paragon, half-orc paragon and orc paragon, for example (a la the Unearthed Arcana Paragon Classes)?

 

[Sunseeker]

I don't see why not aside from role-play reasons putting the paragon classes as opposed to each other. If you're just class dipping for power then it's more of a "Will my DM let me do this?" than a "do the rules allow this?"