derekgmat wrote:
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 153 games will be played during the tournament. Find the number of participants.
A. 15
B. 16
C. 17
D. 18
E. 19
You can also approach the question with combinations.
Let's say there are n people playing chess. You need to select 2 people from n people.
Number of ways of doing that is
nC2 = n!/(n-2)!2!
Reducing the above equation you get
n(n-1)/2 number of ways.
Now, n(n-1)/2
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