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Aptitude · Q33

Permutation And Combination

Competitive Exams · Aptitude · question 33

Q33

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
Answer
B.
19
C.
17
D.
16

Answer: Option A

Solution

Answer: Option A
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