Vidyalelo
Aptitude · Q69

Permutation And Combination

Competitive Exams · Aptitude · question 69

Q69

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.
16
B.
17
C.
18
Answer
D.
19

Answer: Option C

Solution

Answer: Option C
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.