 Immediately after Randolph finished laying out the Virginia Plan , Charles Pinckney of South Carolina presented his own plan to the Convention . As Pinckney did not reduce it to writing , the only evidence we have are Madison 's notes , so the details are somewhat vague . It was a confederation , or treaty , among the thirteen states . There was to be a bicameral legislature made up of a Senate and a House of Delegates . The House would have one member for every one thousand inhabitants . The House would elect Senators who would serve by rotation for four years and represent one of four regions . Congress would meet in a joint session to elect a President , and would also appoint members of the cabinet . Congress , in joint session , would serve as the court of appeal of last resort in disputes between states . Pinckney did also provide for a supreme Federal Judicial Court . The Pinckney plan was not debated , but it may have been referred to by the Committee of Detail . 
