Found this gem on the net:
The expressions differ both referentially and grammatically: in terms of reference, '(in order) to do' specifies the purpose of an action, while 'for doing' specifies the purpose/use of a thing (typically an object). They differ grammatically in that 'in order to do' functions as an adverbial modifier to a verb phrase, whereas 'for doing' functions simply as a complement. Thus we say e.g.
He picked up his pen in order to write a letter.
(not *...for writing....), answering the question WHY did he pick up his pen?,
but
A pen is for writing.
(not *...(in order) to write), answering the quite different question WHAT is a pen FOR?.
IMO
for doing : What is the general purpose?
to do : Specific purpose.
The committee was formed with a specific purpose; hence to do beats for doing. Even though there's a slight chance of ambiguity and I don't agree wholeheartedly with the question.
E.