A) 14
B) 22
C) 18
D) None of these
Correct Answer: C
Solution :
If n is the number of teams, then \[^{n}{{C}_{2}}=153\Rightarrow \frac{n!}{2!(n-2)!}=153\] \[\Rightarrow \]\[n(n-1)=153\times 2\] \[\Rightarrow \]\[{{n}^{2}}-n-306=0\] \[\Rightarrow \]\[(n-18)(n+17)=0\] \[\Rightarrow \]\[n=18,-17\] \[\therefore \] n = 18 \[(n\ne -17)\]You need to login to perform this action.
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