Q. In a cricket championship there are 36 matches. The number of terms, if each plays 1 match with other are
A) 9
B) 10
C) 8
D) 12
Explanation
(a)
Let $n$ be the number of terms
$\because\ \ \ \ ^{n}C_{2} = 36$
$\Rightarrow \ \ \ \ \frac{n(n - 1)}{1.2} = 36$
$\Rightarrow \ \ \ n(n - 1) = 72 = 9 \times 8$
$\Rightarrow \ \ \ \ n = 9$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.