perplexus.info :: Logic : Party People

Party People (Posted on 2012-12-25)

At the Party:

There were 9 men and children.
There were 2 more women than children
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:

There were 4 of one group.
There were 6 of one group.
There were 8 of one group.

Exactly one of the above 6 statements is false.

Which one of the above statements is false? Also, how many men, women and children are there at the party?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The 4th statement is false.
The number of men, women, and children at the party are respectively 3, 8, and 6.
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2024-02-27 21:53:31
No Subject	Arthur Swanson	2023-01-31 07:43:32
Analytical answer (spoiler)	Steve Herman	2012-12-25 11:23:45
answer- spoiler	Ady TZIDON	2012-12-25 10:59:59

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