gIn a lottery, 40 balls numbered 1 through 40 are placed in a machine and six of them are drawn at random without replacement. If the six numbers drawn match the numbers that a player had chosen, the player wins one million dollars. The order in which the numbers are drawn is irrelevant. a) Compute the total number of ways in which 6 numbers can be drawn from a group of 40 without replacement, when the order is not important. (3 pts) b) Compute the probability that a person wins the million-dollar prize by purchasing a single lottery ticket. (2 pts) c) If five of the six numbers drawn match the numbers that a player has chosen, the player wins a second prize of one thousand dollars. Compute the probability that a player wins the second prize for a single ticket. (3 pts)