diff --git a/backend/app/routes/feed.py b/backend/app/routes/feed.py
index 08f2ecc..b743b92 100644
--- a/backend/app/routes/feed.py
+++ b/backend/app/routes/feed.py
@@ -318,8 +318,15 @@ def get_facets(
     visible = or_(ChannelTag.user_id.is_(None), ChannelTag.user_id == user.id)
     counts: dict[int, int] = {}
     for category in ("language", "topic"):
+        # Disjunctive (OR) facets drop the category's own selections so its chips keep
+        # independent counts (you can OR more of them in). Conjunctive (AND, topics only)
+        # keeps them applied, so each remaining chip narrows to channels that ALSO have all
+        # already-selected topics — and tags that can't co-occur drop to zero (hidden).
+        conjunctive = category == "topic" and params.get("tag_mode") == "and"
         base, _status = _filtered_query(
-            db, user, **{**params, "exclude_tag_category": category}
+            db,
+            user,
+            **{**params, "exclude_tag_category": None if conjunctive else category},
         )
         channels = base.with_only_columns(Video.channel_id).distinct().subquery()
         rows = db.execute(