1. Powerball In the Powerball lottery, five white balls are drawn out of a drum with 69 numbered white balls and then one red ball is drawn out of a drum with 26 numbered red balls. The jackpot is won by guessing all five white balls in any order and the red Powerball. Determine the number of possible outcomes.
2. Baseball Lineup On a children's baseball team, there are four players who can play at any of the following infield positions: catcher, first base, third base, and shortstop. There are five possible pitchers, none of whom plays any other position. And there are four players who can play any of the three outfield positions (right, left, and center) or second base. In how many ways can the coach assign players to positions?