Puzzle of the Day: 86
A Small Party
At the party the speaker made following 6 statements
 There were 9 men and children.
 There were 2 more women than children.
 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:
 There were 4 people in one of the categories
 There were 6 people in one of the categories
 There were 8 people in one of the categories
Exactly one of the 6 statements made by speaker is false
Which of  through  is false?
Source: The Great Book of PUZZLES & TEASERS