how many mappers are used is determined by input -- specifically input splits. So in your case, 200 files could be fed to 200 mappers. But the real answer is a little more complicated. It depends on
file size : if a file is bigger than a block size, then block sized chunk is sent to a mapper
are the files splittable. for example gzip compressed files can not be split. And the one entire file goes to one mapper (even if the file is bigger than a block size)