There are 50 contestants in the Miss America pageant. The judges need to pick 1^st place, 2^nd place, and 3^rd place. How many different ways can the judges choose the arrangement of winners? A) 19600 B) 125000 C) 15253 D) 117600 E) None of the above.

Question

Quizplus · Accepted Answer

The number of different ways to choose the arrangement of winners is calculated using permutations since the order matters. For the first place, there are 50 options, for the second place, there are 49 (since one contestant has already been chosen), and for the third place, there are 48 options. Thus, the total number of arrangements is 50 * 49 * 48 = 117,600.

There Are 50 Contestants in the Miss America Pageant