Mixed doubles draw men's and women's singles

It is unrealistic for a man to pair with two women. As you said, if both men and women win, they can't play the next game.

Solution:

First, there can only be ten mixed doubles competitions at most, and the remaining ten women can organize to participate in women's doubles competitions;

The second is to organize the remaining ten women to participate in the women's singles competition.

As for choosing who to pair with a man, you need to make a two-way choice. Those who are not selected for matching will participate in the women's doubles or women's singles competition.

This is a reasonable organization method.

I hope my answer is helpful to you. If you are satisfied, please accept it. Thank you.