Anthony was selected by New Orleans with the 31st pick of the first-round.
In four seasons at Clemson, Anthony finished with 330 tackles, 34.5 tackles for loss, 9.5 sacks, three interceptions, 13 passes defensed, five forced fumbles and one fumble recovery over 52 games (35 starts).
In 2014 as a senior, Anthony was a consensus first-team All-ACC selection, Butkus Award semifinalist and team co-captain.
Williams, a former Florida State star, was drafted by the Saints with the 14th pick of the third-round.
The 6-foot, 196-pound cornerback started 13 games and had 74 tackles, 10 pass breakups and an interception in 2014 for the Seminoles.
In 2014, Williams was named to the All-ACC second-team. He was the Defensive MVP in Florida State's win over Auburn in the BCS National Championship.
With the signing of Williams and Anthony, Saints first-round draft pick Andrus Peat is the only rookie to remain unsigned.
Rookie camp starts Friday, May 15 for the Saints.
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