diff --git a/narwhals/_pandas_like/selectors.py b/narwhals/_pandas_like/selectors.py
index b28f320f5..91036b9bc 100644
--- a/narwhals/_pandas_like/selectors.py
+++ b/narwhals/_pandas_like/selectors.py
@@ -2,6 +2,7 @@
 
 from typing import TYPE_CHECKING
 from typing import Any
+from typing import NoReturn
 
 from narwhals import dtypes
 from narwhals._pandas_like.expr import PandasExpr
@@ -147,3 +148,12 @@ def call(df: PandasDataFrame) -> list[PandasSeries]:
 
     def __invert__(self) -> PandasSelector:
         return PandasSelectorNamespace(self._implementation).all() - self
+
+    def __rsub__(self, other: Any) -> NoReturn:
+        raise NotImplementedError
+
+    def __rand__(self, other: Any) -> NoReturn:
+        raise NotImplementedError
+
+    def __ror__(self, other: Any) -> NoReturn:
+        raise NotImplementedError
diff --git a/tests/selectors_test.py b/tests/selectors_test.py
index ccf1b43e5..286944028 100644
--- a/tests/selectors_test.py
+++ b/tests/selectors_test.py
@@ -87,3 +87,13 @@ def test_set_ops(
     df = nw.from_native(constructor(data))
     result = df.select(selector).columns
     assert sorted(result) == expected
+
+
+def test_set_ops_invalid() -> None:
+    df = nw.from_native(pd.DataFrame(data))
+    with pytest.raises(NotImplementedError):
+        df.select(1 - numeric())
+    with pytest.raises(NotImplementedError):
+        df.select(1 | numeric())
+    with pytest.raises(NotImplementedError):
+        df.select(1 & numeric())