Can a variable number of arguments be passed to a function?

Yes. You can use *args as a non-keyword argument. You will then be able to pass any number of arguments.

def manyArgs(*arg):
  print "I was called with", len(arg), "arguments:", arg

>>> manyArgs(1)
I was called with 1 arguments: (1,)
>>> manyArgs(1, 2, 3)
I was called with 3 arguments: (1, 2, 3)

As you can see, Python will unpack the arguments as a single tuple with all the arguments.

For keyword arguments you need to accept those as a separate actual argument, as shown in Skurmedel's answer.

Adding to unwinds post:

You can send multiple key-value args too.

def myfunc(**kwargs):
    # kwargs is a dictionary.
    for k,v in kwargs.iteritems():
         print "%s = %s" % (k, v)

myfunc(abc=123, efh=456)
# abc = 123
# efh = 456

And you can mix the two:

def myfunc2(*args, **kwargs):
   for a in args:
       print a
   for k,v in kwargs.iteritems():
       print "%s = %s" % (k, v)

myfunc2(1, 2, 3, banan=123)
# 1
# 2
# 3
# banan = 123

They must be both declared and called in that order, that is the function signature needs to be *args, **kwargs, and called in that order.

Adding to the other excellent posts.

Sometimes you don't want to specify the number of arguments and want to use keys for them (the compiler will complain if one argument passed in a dictionary is not used in the method).

def manyArgs1(args):
  print args.a, args.b #note args.c is not used here

def manyArgs2(args):
  print args.c #note args.b and .c are not used here

class Args: pass

args = Args()
args.a = 1
args.b = 2
args.c = 3

manyArgs1(args) #outputs 1 2
manyArgs2(args) #outputs 3

Then you can do things like

myfuns = [manyArgs1, manyArgs2]
for fun in myfuns:
  fun(args)

def f(dic):
    if 'a' in dic:
        print dic['a'],
        pass
    else: print 'None',

    if 'b' in dic:
        print dic['b'],
        pass
    else: print 'None',

    if 'c' in dic:
        print dic['c'],
        pass
    else: print 'None',
    print
    pass
f({})
f({'a':20,
   'c':30})
f({'a':20,
   'c':30,
   'b':'red'})
____________

the above code will output

None None None
20 None 30
20 red 30

This is as good as passing variable arguments by means of a dictionary