NBA

Nets, Nuggets, Pistons could do 17-player Carmelo deal

The Nets’ pursuit of Denver superstar Carmelo Anthony with Detroit entering the mix could result in the largest trade in NBA history under an incredibly complex proposal which is one of about 20 scenarios being considered.

As many as 17 players, plus multiple draft picks, could be involved in the deal, several sources confirmed. One league executive said “15 to 17 players could ultimately be involved.” And there are all the draft picks to consider, too.

The Nets, who have sought to do a team-to-team trade with the Nuggets, have induced Detroit into the talks with the Pistons eager to shave salary. The Nets, under the whopper trade which is nowhere near close to be completed, would essentially gut their current roster. At 10-26, that might not be a bad thing.

For starters, the Nets would get Anthony and Chauncey Billups from Denver and Rip Hamilton, who has two years worth $25 million left on his contract, from the Pistons, along with Terrico White. And there are other pieces involved. A first-round draft pick from the Pistons to the Nets is not seen as a hold-up in the deal. Want a hold-up? Try working 17 guys into a trade.

Where all the Nets wind up is still not clear, The Nets would sent Derrick Favors, at least two first-round picks, and Devin Harris to the Nuggets. Troy Murphy and Johan Petro would head to the Pistons. Other players, such as Quinton Ross, Stephen Graham — perhaps Anthony Morrow — also would be headed out.

The Nets also are determined to prevent the Knicks from landing Anthony, who would have to sign a three-year, $65 million extension.

The largest trade, in terms of player numbers, in NBA history was a five-team, 13-player swap in 2005 involving Miami, Memphis, New Orleans, Boston and Utah.

fred.kerber@nypost.com