1. Three points that are not collinear determine three lines. How many lines are determined by nine points, no three of which are collinear?
2. Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red Powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball.
(a) Find the possible number of winning Powerball numbers.
(b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.