There are 23 chess players participating in a weekend tournament. Prices are awarded to the first-, second-, third-, and fourth-place finishers. The number of different ways these four places can be filled by those playing is ________.
A) 3,450
B) 8,855
C) 70,256
D) 212,520

Question

Quizplus · Accepted Answer

There are 23 possible players for the first place, 22 remaining possible players for the second place, 21 remaining possible players for the third place, and 20 remaining possible players for the fourth place. We multiply these numbers to get the total number of ways: 23 x 22 x 21 x 20 = 212,520. Therefore, the correct answer is D.

There Are 23 Chess Players Participating in a Weekend Tournament