(1 point) in how many ways can first, second, and third prizes be awarded in a contest with 470 contestants?

We can assume that a contestant cannot win more than one award. Then the number of ways to choose the winner of first place is 470 since everyone has a chance to win. There are 469 ways to choose the second place winner because anyone can win other than the first place winner. Likewise, there are 468 ways for the third place winner to be chosen. The total number of ways to choose the three awards is {(470) (469) (468)} we just multiply the three awards and the ways that the contestants will be chosen as a winner and win the award. So 470 x 469 x 468 = 103,161,240 ways that the first, second and third prizes be awarded in the contest with 470 contestants.