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:

A. 18

B. 19

C. 17

D. 16

Answer: Option A

Solution(By Examveda Team)

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