Detailed Instructions: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Problem: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
Solution:
d