the ballroom dance competitions are divided into four main categories based on the style of dancing and the kind of dances in each cateory. Here's the full list of dances in the order they are danced (when all of them are used) for these four categories of competition along with common abbreviations for the dances: 
American Style (the ISTD's syllabus) 
Smooth -- Waltz (W), Tango (T), Foxtrot (F), Viennese Waltz (VW) 
Rhythm -- Cha Cha (C), Rumba (R), East Coast Swing (Sw), Bolero (B), Mambo (Ma) 
International Style (the ISTD's syllabus, the the IDTA's syllabus, and a combined version) 
Standard -- Waltz (W), Tango (T), Viennese Waltz (VW), Foxtrot (F), Quickstep (Q) 
Latin -- Cha Cha (C), Samba (S), Rumba (R), Paso Doble (PD), Jive (J)