NBC says "The Apprentice" will return Jan. 7 with some new elements. The week's winners will live like kings in a mansion while the week's losers will sleep outside in tents. The project manager will stay in charge until his or her team loses. Ivanka and Donald Trump Jr. will return for several episodes, says NBC, but ice princess Carolyn Kepcher is gone (fired or quit in August, depending on who's talking). We liked Carolyn.