The Socket.Select documentation for the overload where timeout is a

`System.TimesSpan` states that `ArgumentNullException` is thrown if any
of checkRead, checkWrite or checkError is empty/null. But, null or empty
collections can be passed for them. The real requirement is that at
least one of them must contain at least one socket. It is perfectly okay
to `select(read_sockets, NULL, NULL)` or `select(NULL, write_sockets,
NULL)` or `select(NULL, NULL, error_sockets)`.

Author: logiclrd

xml/System.Net.Sockets/Socket.xml

@@ -11054,11 +11054,13 @@ You must call the Bind method before performing this operation.</exception>
 
  -and-
 
- The <paramref name="checkWrite" /> parameter is <see langword="null" /> or empty
+The <paramref name="checkWrite" /> parameter is <see langword="null" /> or empty
 
  -and-
 
- The <paramref name="checkError" /> parameter is <see langword="null" /> or empty.</exception>
+The <paramref name="checkError" /> parameter is <see langword="null" /> or empty.
+
+At least one of <paramref name="checkRead" />, <paramref name="checkWrite" /> and <paramref name="checkError" /> must contain at least one <see cref="Socket"/>.</exception>
         <exception cref="T:System.Net.Sockets.SocketException">An error occurred when attempting to access the socket.</exception>
         <exception cref="T:System.ObjectDisposedException">.NET 5 and later: One or more sockets are disposed.</exception>
         <altmember cref="T:System.Collections.IList" />
@@ -11113,8 +11115,18 @@ You must call the Bind method before performing this operation.</exception>
         <param name="timeout">The timeout value. A value equal to -1 microseconds indicates an infinite timeout.</param>
         <summary>Determines the status of one or more sockets.</summary>
         <remarks>To be added.</remarks>
-        <exception cref="T:System.ArgumentNullException">The <paramref name="checkRead" />, <paramref name="checkWrite" />, or <paramref name="checkError" /> parameter is <see langword="null" /> or empty.</exception>
-        <exception cref="T:System.ArgumentOutOfRangeException">The <paramref name="checkRead" />, <paramref name="checkWrite" />, or <paramref name="checkError" /> parameter contains too many sockets.</exception>
+        <exception cref="T:System.ArgumentNullException">The <paramref name="checkRead" /> parameter is <see langword="null" /> or empty.
+
+ -and-
+
+The <paramref name="checkWrite" /> parameter is <see langword="null" /> or empty
+
+ -and-
+
+The <paramref name="checkError" /> parameter is <see langword="null" /> or empty.
+
+At least one of <paramref name="checkRead" />, <paramref name="checkWrite" /> and <paramref name="checkError" /> must contain at least one <see cref="Socket"/>.</exception>
+        <exception cref="T:System.ArgumentOutOfRangeException">The <paramref name="checkRead" />, <paramref name="che^ckWrite" />, or <paramref name="checkError" /> parameter contains too many sockets.</exception>
         <exception cref="T:System.ArgumentOutOfRangeException">The <paramref name="timeout" /> was less than -1 microseconds or greater than <see cref="F:System.Int32.MaxValue" /> microseconds</exception>
         <exception cref="T:System.Net.Sockets.SocketException">An error occurred when attempting to access the socket.</exception>
         <exception cref="T:System.ObjectDisposedException">One or more sockets was disposed.</exception>