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1. In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:
nC2 = 153
On solving we get,
⇒ n = −17 and n =18
It cannot be negative so,
n = 18 is the answer.
Solution:
Let there were x teams participating in the games, then total number of matches,nC2 = 153
On solving we get,
⇒ n = −17 and n =18
It cannot be negative so,
n = 18 is the answer.