Permutations And Combinations Question 100

Question: In a football championship, there were played 153 matches. Every team played one match with each other. The number of teams participating in the championship is [WB JEE 1992; Kurukshetra CEE 1998]

Options:

A) 17

B) 18

C) 9

D) 13

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ ^{n}C_2=153\Rightarrow \frac{n(n-1)}{2}=153\Rightarrow n=18 $ .