2D - Move Button After Clicking

Hi all. Just started using Unity this weekend. I'm new to development/scripting. Thankfully my background in photoshop is helping with the visual aspects to Unity, but in regard to scripting its a uphill battle already.

Just wondering the best way to script something unusual.

Looking to have a button, randomly move to a new location on screen, once its been clicked 10 times.

Random might be a tall order, so maybe just manually input the new vector transform/position?

Thanks in advance for any/all help!

Ryan