Many Decays: Read - Watch - Answer
Particle physicists must look at many events in order to measure the properties of the building blocks of matter.
As with any measurement, there are two general ways to improve your precision. You can build a device that makes finer scales of resolving power possible. You could also observe the same thing repeatedly, and then you could measure the sample.
Particle physicists do both. They deliver beams of many particles at high energies (the greater resolving power) to collide with other beams or to hit fixed targets. Thus many more particles, and their subsequent decays, are produced than are ordinarily observable in nature.
The following page gives you a feel for how increased sampling reveals more about the behavior of particles.
If you want to see a list of particles along with the typical number of particle resulting combinations, just go to the particle table. If you would like to know the definitions of some unfamiliar terms, try the glossary at Boston University.