Detailed Instructions: In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: in a chess competition involving some men and women , every player needs to play exactly one game with every other player . it was found that in 45 games , both the players were women and in 190 games , both players were men . what is the number of games in which one person was a man and other person was a woman ?
Options: a ) 40 , b ) 120 , c ) 180 , d ) 200 , e ) 220
A:
d