A Staten Island beauty with her sights set on college was shot and killed early yesterday, senselessly gunned down while hanging out with friends, authorities said.

Jenice Clark, 17, an avid basketball player, was shot in the torso at around 3 a.m. as she stood within a crowd of about 50 young people who’d just attended a party, family members and police said.

She was pronounced dead at Richmond University Medical Center at around 6 a.m. Police had neither a suspect nor a motive for the violence.

Loved ones honored the slain teen yesterday with a makeshift memorial at the basketball court of the Stapleton Houses housing project, Clark’s home.

“She was a good kid,” said neighbor Linda Strong. “She went to school every day. A lot of kids around here don’t even go to school.”