roughworks

UCEED 2016

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UCEED2016Q8·nat·Hard66 attempts

There are some men and some women in a group. Each person shakes hands with exactly one other person in the entire group. After this round of handshakes, eight men and four women find that they shook hands with someone of the same sex. The total number of handshakes exchanged in the entire group is 87. At most how many women can there possibly be in this group?

Keyboards off — use the numpad, just like on exam day.