How many ways are there to boot a Cisco router and what's the description of them? Who can figure that out?

As I do not fully understand your question and you did not even give us a make and model have a read of this?

Cisco - Hardware Troubleshooting for the Cisco 2500 Series Router

It maybe a little technical for you so read carefully.

Loads of links attached to it for you to.

What I'm saying Jellybean is that, regardless of what the model of the router is, you still have to boot the router up to manage it or make configurations. What I'm saying is, is there more than one way to do that and the description of it?

If you wanna get technical, its a 3600 model. Nothing's wrong with the router at all.

configuration guides from cisco

Cisco 3600 Series Multiservice Platforms Configuration Examples and TechNotes - Cisco Systems

I'm not trying to configure a router or 3600 for that matter, I'm merely asking is there more than one way to boot a router?

The answer is 4 different ways and they are: NVRAM, FLASH, TFTP and ROM, in that order. It only goes trough those steps if the previous step before it, beginning with FLASH, doesn't have the IOS image.