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let suppose n teams . we have to select 2 teams out of n teams i.e. nC2 way .   here nC2 = 153 . so n =18

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please check your calculations the answer would be n= 18 not 17

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Mk Utkarsh won't it be 18? 18C2 is 153..

Answer 1

The answer is 18 i.e option D. Here's the explanation :- 

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.
So, n cannot be negative hence, n = 18 is the answer.