Florida State -- Basketball Coach Joe Williams, with a 7-10 record in his eighth season at the school, announced his resignation, effective at the end of the year. He has been a major-college head coach for 22 seasons and took Jacksonville to second place in the 1970 NCAA championship tournament. National College -- Ed Farmer, a former University of Maryland and University of District of Columbia basketball player, has enrolled at the college in Rapid City, S.D. Farmer will be eligible to play for National in 1986-87. Louisiana State -- Named Mike Nolan, son of Dallas Cowboys assistant coach Dick Nolan, linebackers coach. Georgia Tech -- Freshman F Tom Hammonds was named Atlantic Coast Conference basketball rookie of the week. He had 22 points and 18 rebounds as team split two conference games. American -- Jody Thornton of Pittsburgh was named Colonial Athletic Association's co-player of the week in women's basketball along with Sandy Broughton of James Madison. Wake Forest -- F Amy Privette, who averaged 20 points, 6.7 rebounds and five assists in three games, has been named the Atlantic Coast Conference women's basketball player of the week. HOCKEY

St. Louis Blues -- Extended contract of Coach Jacques Demers through 1988-89. BASEBALL

San Diego Padres -- Said free agent Dane Iorg, whose two-run single in the bottom of the ninth inning gave the Kansas City Royals the victory in Game 6 of the 1985 World Series, has signed a contract. Boston Red Sox -- Signed P Al Nipper, P Mike Brown, P Jeff Sellers, 1B Sam Horn and OF John Christensen to one-year contracts. Minnesota Twins -- Signed veteran RHP John Butcher (11-14, 4.98 ERA) to a one-year contract. Twenty-seven of the 39 players on Minnesota's roster are unsigned. LOCALLY

Touchdown Club -- Officially elected Lela Foreman as first woman president. Mitch Hazam was elected vice president and Marty Mesmer was elected secretary-treasurer.