1. A "pot with a lid with holes in it" counts as a colander:
Given P pots with drainage lids and C "typical colanders" in your household, P+C = 3 (which is the same as in my household, and thus a tie)
2. A "pot with a lid with holes in it" does not count as a colander:
C = 3 (P+C >=3, but is irrelevant to the discussion). This is larger than the two colanders in my household so you win.
Therefore, your more recent comment indicates that you purchased something that would qualify as a colander under situation #1 (either a typical colander, or pot with drainage in the lid) in the roughly 10 hours between your two comments. May I ask what sort of colander it was?