G) Prove that (a) by using the formula for (b) by exhibiting a one-to-one correspondence between...
(iv) Check that the formula () = 21" holds for rows n = 0 to 5 in Pascal's triangle. (If it doesn't work for n = 4 or 5, go back and redo (iii)!) (v) Prove the formula of (iv) using (ii). (a) using (ii); (b) by proving that both sides of the formula represent the number of subsets of a set of n elements. For the left side use the addition rule for counting after partitioning the collection of...