Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants .If the number of games that the men played between them - selves exceeds the number of games that the men played with the women by 66 , then the number of men who participated in the tournament lies in the interval :

Question

$(a)\;[8,9]\qquad(b)\;[10,12)\qquad(c)\;(11,13]\qquad(d)\;(14,17)$