Pascals Recursion\ (a) Coin Flips\ i. Write out all sequences of four coin flips that contain 2 Heads and 2 Tails\ ii. Write out all sequences of four coin flips that contain 3 Heads and 1 Tail\ iii. Write out all sequences of five coin flips that contain 3 Heads and 2 Tails\ iv. Explain how you can use the first two lists to generate the third list.\ v. Describe why CF(n 1, k 1) + CF(n 1, k) = CF(n, k)