diff --git a/stdlib/3/collections/__init__.pyi b/stdlib/3/collections/__init__.pyi
index 400c3dc3d..0771620da 100644
--- a/stdlib/3/collections/__init__.pyi
+++ b/stdlib/3/collections/__init__.pyi
@@ -241,20 +241,22 @@ class deque(MutableSequence[_T], Generic[_T]):
 
 class Counter(Dict[_T, int], Generic[_T]):
     @overload
-    def __init__(self, **kwargs: int) -> None: ...
+    def __init__(self, __iterable: None = ..., **kwargs: int) -> None: ...
     @overload
-    def __init__(self, mapping: Mapping[_T, int]) -> None: ...
+    def __init__(self, __mapping: Mapping[_T, int]) -> None: ...
     @overload
-    def __init__(self, iterable: Iterable[_T]) -> None: ...
+    def __init__(self, __iterable: Iterable[_T]) -> None: ...
     def copy(self: _S) -> _S: ...
     def elements(self) -> Iterator[_T]: ...
 
     def most_common(self, n: Optional[int] = ...) -> List[Tuple[_T, int]]: ...
 
+    @overload
+    def subtract(self, __iterable: None = ...) -> None: ...
     @overload
     def subtract(self, __mapping: Mapping[_T, int]) -> None: ...
     @overload
-    def subtract(self, iterable: Iterable[_T]) -> None: ...
+    def subtract(self, __iterable: Iterable[_T]) -> None: ...
 
     # The Iterable[Tuple[...]] argument type is not actually desirable
     # (the tuples will be added as keys, breaking type safety) but
@@ -266,7 +268,7 @@ class Counter(Dict[_T, int], Generic[_T]):
     @overload
     def update(self, __m: Union[Iterable[_T], Iterable[Tuple[_T, int]]], **kwargs: int) -> None: ...
     @overload
-    def update(self, **kwargs: int) -> None: ...
+    def update(self, __m: None = ..., **kwargs: int) -> None: ...
 
     def __add__(self, other: Counter[_T]) -> Counter[_T]: ...
     def __sub__(self, other: Counter[_T]) -> Counter[_T]: ...