Fourth method - Using RGB to Greyscale action.
This method works well and also will introduce you to Photoshop actions.
When used like this they are quick and simple to control but if you become more familiar with them and learn to make your own, they become a very powerful, and time saving feature�.more of that in another tutorial.
Go back to your original image again
Now go to your History pallet and click on the tab next to it that says actions. The pallet should now look like this.
Click on the little blue triangle, this opens up the list of available pre-set actions.
Scroll down the list in the box until you find the one that we want
Custom RGB to Greyscale and click once on it, the icons below the pallet will now become active.
Select the Play icon.
The channel mixer control panel will appear and your picture should now turn to greyscale. You can now move the sliders to adjust your image until you get results that you are happy with.