## Puzzle of the Day: 86

**A Small Party**

**At the party the speaker made following 6 statements**

**[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. ( If there were 10 men and 5 women at the party, then there would have been 10 x 5 or 50 man – woman couples possible.)**

**Of the three categories – men, women, and children – at the party:****[4] There were 4 people in one of the ****categories**

**[5] There were 6 people in one of the ****categories****[6] There were 8 people in one of the categories **

** Exactly one of the 6 statements made by speaker is false**

**Which of [1] through [6] is false?**

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