Bob Munson: Mr. President, with the chair's permission, I shall be very brief.
The Vice President: The chair gladly gives any senator permission to be brief.
Don Murray goes into the bathroom wearing a T-shirt under his shirt and tie (it clearly shows through the shirt). When he comes out he still has the shirt and tie on but the T-shirt has mysteriously disappeared.
Peter Lawford, who plays a U.S. Senator, was the brother-in-law of three Senators in real life (Jack, Bobby, and Ted Kennedy).