At the Party:
1. There were 9 men and children.
2. There were 2 more women than children.
3. The number of different man-woman couples possible was
24. Note that if there were 7 men and 5 women, then there
would have been 35 man-woman couples possible.
Also, of the three groups - men, women and children - at the
party:
4. There were 4 of one group.
5. There were 6 of one group.
6. There were 8 of one group.
Exactly one of the above 6 statements is false.
Can you tell which one is false? Also, how many men, women
and children are there at the party?
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