Janet Jackson's unlikely collaboration with Missy Elliott and Carly Simon on her latest single, "Son of a Gun," just got stranger — P. Diddy will remix the song for Jackson's upcoming All for You DVD/CD box set.

The Diddy mix is one of two new versions of the song that will appear on the release — Jackson's longtime producers Jimmy Jam and Terry Lewis also remixed the ditty, which is based on Simon's 1972 hit "You're So Vain."

Due November 20, All for You — The Limited Edition CD and DVD also will feature music videos, behind-the-scenes and performance footage from her last three tours and a 24-page booklet with new photos. Her performance at mtvICON: Janet Jackson is included, too (see "Destiny's Child, 'NSYNC To Honor Janet Jackson").