1. Consider an 8-ball lottery game. In total there are 8 balls numbered 1 through to 8 inclusive. 5 balls are drawn (chosen randomly), one at a time, without replacement (so that a ball cannot be chosen more than once). To win the grand prize, a lottery player must have the same numbers selected as those that are drawn. Order of the numbers is not important so that if a lottery player has chosen the combination 1,2, 3,4,5 and, in order, the numbers 4, 2, 3, 5, 1 are drawn, then the lottery player will win the grand prize (to be shared with other grand prize winners). You can assume that each ball has exactly the same chance of being drawn as each of the others