1. Joe, an avid and properly licensed sportsman, is in his hunting blind when he locates 20 canada geese, 25 mallard ducks, 40 bald eagles, 10 whopping cranes, and 5 flamingos. Joe randomly selects six birds to target. What is the probability that at least one of each species is targeted?
2. Thirty items are arranged in a 6 by 5 array as shown.
Calculate the number of ways to form a set of three distinct items such that no two of the selected items are i the same row or same column.