Binomial probabilities from counting

You will count the orders of successes by listing them, find the probability of one order, and put the two together into the binomial formula. The checker compares your counts with math.comb.

The idea. product("SF", repeat=n) lists every order of $n$ trials. Count the orders with exactly k letters S. One order with k successes has probability $p^k(1 - p)^{n-k}$. The binomial probability is the number of orders times that.

Your tasks.

1. Finish orders(n, k). List every order and count those with k successes.
2. Finish one_order(p, n, k).
3. Finish binomial(n, p, k). Use your first two functions, not math.comb.