We have, n men and 2 women Total number of games played by men among themselves 2â‹…nC2=
2(n)(n−1)
2
=n2−n Total number of games played by men against women =2(2n)=4n ∴‌n2−n=4n+66 ⇒n2−5n−66=0 (n−11)(n+6)=0 n=11 n≠−6 ∴ Total number of players =11+2=13