PAX FIGHTING; 1 BLEEDING. COCKPIT NOTIFIED BY CABIN ATTENDANT.

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THE FLT ATTENDANT MID-CABIN CHIME WENT OFF BTWN 11000 AND 10000 FT ON APCH TO LAX; APPROX 30-35 NM E OF LAX. A VERY AGITATED FLT ATTENDANT SAID SOME PAX WERE FIGHTING AND ONE OF THEM WAS BLEEDING. I IMMEDIATELY MADE A PA DEMANDING EVERYONE SIT DOWN AND NOTIFIED AIRLINE'S RAMP CTL OF THE SIT; CONFIRMED THE GATE NUMBER FOR ARR; AND REQUESTED SUPVR AND SECURITY PERSONNEL MEET THE ACFT. THE COPLT WAS FLYING AND HANDLING ATC COM. WHEN I RETURNED TO ATC THE COPLT SAID THAT WE HAD BEEN CLRED TO LAND ON THE RWY 24 COMPLEX. I TOLD LAX TWR THAT WE HAD A DISTURBANCE ON BOARD AND REQUESTED A VISUAL APCH TO RWY 25R WITH NO DELAY IN TAXI TO GATE. LAX TWR IMMEDIATELY CLRED US VISUAL RWY 25R WITH A CLRNC DIRECTLY TO THE GATE ON TWR FREQ. THE FLT WAS MET BY SUPERVISORY PERSONNEL; LAX SECURITY FORCES; AND PARAMEDICS. WITH A 3-MAN CREW; I COULD HAVE SENT THE FE BACK TO ASSESS A POTENTIALLY DANGEROUS SIT. A 2-MAN CREW PREVENTED ME FROM EXERCISING THAT OPTION AND I HAD TO RELY ON FLT ATTENDANTS TO CTL THE SIT.