Question: What is the difference between *make decision* and *take decision*? When to use the one and when the other?

Answer: 
For US English only: Make a decision. Take a position. 

A decision is something that is formed through a process. It is put together, or made.

A position is something that is finished. The world "position" itself suggests a specific, stable place to which one has moved, or taken. 

One makes a decision to take a position.
Actually decisions deal with options. You may have several options to choose from at which time you may choose an option. Hence I may request that you choose or pick an option. Obviously when you pick an option you are taking that corse of action. As you can see when you pick you decide to take. Even though making a decision is more common the logical reasoning leads one to take a decision to use take versus make. Once you decide the corse of action to take in deciding to use "take" the usage will feel more natural .