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You and your spouse invite four other couples to a party. Ten people in all.

Prior to the party each person [other than you] knew a different number of people present.

How many people did your spouse know?

How many did you know?

You may assume the following:

If A knows B, then B knows A.

Every male knows his partner.

You might have invited people you don't know.

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if a knows b then b knows a

every male knows his partner

therefore every partner knows her male :o

everyone knows at least 1 person (their partner)

there are 9 people who must know at least 1 person

the most anyone can know is 9

no two can know the same number of people - other than one person who can (and must) know the same number of people as you

therefore one person knows only 1 other, one knows 2, etc through the last person who knows 9 other people

the partner of the person who knows 9 can only know one person (their partner)

follow the logic, so the answer must be...

you both know 5 people -

PS - great puzzle - keep 'em coming... :)

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