What type of drum kit did Bill Kreutzmann play? Who many drums does a drum kit have? A basic kit is 5 drums, 1 Bass Drum, 1 Snare Drum, 2 Rack toms, and 1 floor tom, however more of any of these can be added, or some can be taken away. Adding cymbals to the â¦kit, a basic set-up for cymbals would be one crash cymbal, one ride cymbal, and one pair of hi-hat cymbals. Also available are China cymbals, and Splash Cymbals, again you can add or take away as you please.