Question

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 1

The correct option is A $18$

Let total teams playing be $x$

Total matches played$=153$

Total matches played with $2$ Teams with each other is $1$.

Therefore total matches $=\frac{x(x-1)}{2}=153$

$x(x-1)=306x^2-x-306=0x=18$