A lottery game consists of drawing five distinct whole numbers from the numbers 1 through 69 in any order. Then one more number from the numbers 1 through 28 is selected as the final number (this number could be one of the original five). These numbers are drawn every Wednesday and Saturday. If you match all six numbers, you win the jackpot, which is worth at least $40 million. Use methods of this section to show that there are 314,678,364 possible plays.