Error from Big Combinations

I get this answer from 1000 choose 100:

   float(combination(1000,100));

   6.3850511926305126*10^+139

but I get an error from 8000 choose 800:

   float(combination(8000,800));

   Maxima encountered a Lisp error:
    Error in SETQ [or a callee]: Can't print a non-number.
   Automatically continuing.
   To reenable the Lisp debugger set *debugger-hook* to nil.

Mathematica gives me an answer of something like 2.819E+1040. Is the 
error the result of Maxima not being able to represent such a large 
floating point number?

Tom