If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. What is the number of participants?
Choose the correct choice:
A) 21 B) 22 C) 23 D) 24 E) 25
Let n be the number of participants.   The number of games is n232 = n*(n-1) / 2 = 253   n*(n-1) = 506 = 23*22 (trial and error)   The answer is 23.
<result>C</result>
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. What is the number of participants?