For a change or for change?

Please look at this question.
"The purpose for the program is ______ museum staff with the know-how and feedback to set priorities and identify areas for change"

A.provide B.provided C.provision D.to provide

The correct answer is D.to provide. I know it. What I want to ask you is not it. Why did the questioner not put an article "a" in front of "change"?

I think we have usually used the noun "change" as a countable noun. Due to the preposition "for", can't we use an article there?

Thank you for your answer in advance.