short notice

1 and 4.

But 4 is best, I think.

I agree with Mame. I'd say that number 4 sounds best 'cause it is the most idiomatic.

Though notice can be countable, I don't believe that I've ever heard it used in this sense as a countable noun.

I think 5 is the best.Doesn't "notice" is a countable word?

1. Sorry for giving you short notice - OK

2. Sorry for giving you a short notice. No - a short notice would be a short piece of paper.

3. Sorry for giving you such a short notice. No. See (2)

4. Sorry for giving you such short notice. OK

There are only 4 options.



You mean 'Isn't "notice" a countable word?'

The answer is, yes and no. "A notice" (countable noun) means a written announcement or warning e.g. "No Parking". "Notice" uncountable noun can mean "warning or preliminary alert", e.g. "I am giving you notice that the power will be switched off at noon."