Listing sample spaces by computer

You will write three small functions that list sample spaces: the results of several tosses, the ordered draws from a bag without replacement, and the draws taken together. The checker counts them for a coin and for a bag of letters.

The idea. A sample space is a list of outcomes, so the computer can build it and count it. itertools.product gives every string of tosses. itertools.permutations gives ordered draws with no repeats. itertools.combinations gives draws with the order ignored.

Your tasks.

1. Finish tosses(n). Return a list of strings such as "HTH", one for each outcome of n tosses.
2. Finish ordered_draws(balls, r). Return the list of ordered draws of r balls without replacement.
3. Finish together_draws(balls, r). Return the list of draws of r balls taken together.