Formalities

In a formal event of a club, men always shake hands with the others men once when the event starts and always shake hands with the other men once when the event ends.

Similarly, the women of this club always wave with the other women once when the event starts and always wave with the other women once when the event ends.

Furthermore, men always shake hands with the women in this club once when the event starts, and wave to the women once when the even finish.

In one of this event, 37 people went to the club. Everyone shake hands or wave each other following the above rules. If there was 720 shake hands in this events, how many women were in it?

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