I am using a mutable Buffer and need to find out how many elements it has.
Both size and length methods are defined, inherited
In this case, they can be considered synonyms. You may want to watch out with some other cases such as Array - whilst length and size will always return the same result, in versions prior to Scala 2.10 there may be a boxing overhead for calling size (which is provided by a Scala wrapper around the Array), whereas length is provided by the underlying Java Array.
In Scala 2.10, this overhead has been removed by use of a value class providing the size method, so you should feel free to use whichever method you like.