Let's say you are describing your future house's space.

Spaciousness is key so I would not have much problem/problems moving around places in the house.

I know that ''problem'' is countable noun, but it seems that the ''problem'' as singular fits the most in the context. Which should I use then?

  • I have some problems. I don't have any problems. I would not have too many problems. – Lambie Jun 4 '18 at 12:47
  • You're quite right that problem is a countable noun, so you could say I didn't have many problems. You're also quite right that it's perfectly natural to use singular in your precise context (you had a problem, but that problem wasn't very big). I'm not sure how to explain exactly why we use the syntax we do in that context, but the idiomatic standard is ...so I would not have much of a problem moving around... – FumbleFingers Reinstate Monica Jun 4 '18 at 13:34

I would not have much problem with them staying with us for a while.

While this context certainly sounds like "problem" is an uncountable noun, this is actually a colloquialism short for:

I would not have much of a problem with them ...

Either that or it's mixing this with the other common phrase, "much trouble", where "trouble" is an uncountable noun.

I would not have much trouble with them ...

That being said, "problem" can apply to all of the individual problems associated with some challenge, or the collective problem associated with the challenge as a whole. So, depending on how you want to phrase your statement, any of the following are fine:

I would not have any problem with ...

I would not have any problems with ...

I would not have a problem with ...

Note we don't usually say:

I don't have problems with

although I couldn't say if this is because it doesn't make sense, or it's just not idiomatic.

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