Academic Q for me, but:
Non-existent option of "Always go with your partner, but try to lose them as soon as you've changed your shoes, meet up again for last dance and compare notes on evening on way home"
Reasoning: if there are too many women then you can track down partner again and legitimately demand dance with them rather than having to sit out 6 in a row ( - I had a BAD night on Weds...)
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