WCF Service:The remote server returned an error: (401) Unauthorized.

By connecting to WCF WebService with configuration shown bellow you may notice that the client could get sometimes in trouble.
That is the exception can be thrown while invoking of some service operation: The remote server returned an error: (401) Unauthorized.

<endpoint address="basiccredentialsendpoint"
                binding="basicHttpBinding"
                bindingConfiguration="BasicAuthenticationBinding"
                contract="IService"/>

If authentication settings of the service in IIS looks like shown at the picture below, you will get the error shown above.

If you for example disable the WindowsAuthentication, the client will authenticate successfully by using of
Basic-Transport-Authentication.

However if you enable BasicAuthetication in IIS only but you enable both in WCF
you will also get an error: InternalServer Error 500: Client found response content type of '', but expected 'text/xml'.

<endpoint address="windowscredentialsendpoint"
                binding="basicHttpBinding"
                bindingConfiguration="WindowsCredentialsViaTransport"
                contract="IService"/>