According to vedic principles, a woman cannot have many husbands.
According to Vedic principles, a woman cannot have many husbands, although a husband can have many wives. In special instances, however, it is found that a woman has more than one husband. Draupadi, for instance, was married to all of the five Pandava brothers. Similarly, the Supreme Personality of Godhead ordered all the sons of Pracinabarhisat to marry the one girl born of the great sage Kandu and Pramloca. In special cases, a girl is allowed to marry more than one man, provided she is able to treat her husbands equally. This is not possible for an ordinary woman. The only one who is especially qualified can be allowed to marry more than one husband. In this age of Kali, to find such an equipoised woman is very difficult.
Source: A.C. Bhaktivedanta Swami Prabhupada (2014 edition), “Srimad Bhagavatam”, Fourth Canto, Chapter 30 – Text 16