A) 6
B) 11
C) 13
D) None of these
Correct Answer: C
Solution :
Let there be n men participants. Then, the number of games that the men play between themselves is \[2{{\cdot }^{n}}{{C}_{2}}\] and the number of games that the men played with the women is\[2\cdot (2n).\] \[\therefore \] \[2{{\cdot }^{n}}{{C}_{2}}-2\cdot 2n=66\] \[\Rightarrow \] \[n(n-1)-4n=66\] \[\Rightarrow \] \[{{n}^{2}}-5n-66=0\] \[\Rightarrow \] \[n=11\] \[\therefore \]Number of participants =11 men + 2 women =13You need to login to perform this action.
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