[all variants] Running and Installing Linux from Flash Drive

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http://ubuntuforums.org – Hello. I am new to Linux and I would like to download a version of Ubuntu or Mint onto a 4 GB flash drive and then install the OS onto a laptop computer. The computer I have has no internal hard drive which is why I want to run the operating system from the flash drive itself. How do I perform this task? Also, what is the distribution best for doing this? I was thinking Ubuntu, Mint or anything very easy to use. Thank you. (Hardware)