The dictionary gives a good definition for this context:
commission (n): a group of people who have been formally chosen and given the authority to get information about a problem or to perform other special duties:
However this particular question has a couple of confusing grammatical errors. First of all, the name of the commission should be capitalized, to make it clear it's a proper noun. Second, the name should include the definite article "the":
... for the Better Housing Commission
You would assume the people who write a test will use perfect English, but even native speakers sometimes make mistakes.
Side note: No one ever says "a disorder that is a deficit in paying attention". Again this is a condition with a proper name that should always be used and often capitalized
... with children who have Attention Deficit Disorder
or ADD for short.