[bonanova]

In the Land of Knights and Knaves [LKK], Knights always tell the truth, and Knaves always lie.

Last night the LKK Community Center Committee threw a party for some of the children.

Some adults were there, also, as chaperones.

The six-person LKKCCC was talking about it afterwards:

Alice: I counted all the Men and Children that came. There were 9 total.

Barbara: I counted two more Women than Children.

Clarice: I was playing Cupid and decided there were exactly 24 possible Man-Woman couples here tonight.

Daniel: Of the groups of Men, Women and Children, I counted 4 in one group.

Elliot: Of the groups of Men, Women and Children, I counted 6 in one group.

Fred: Of the groups of Men, Women and Children, I counted 8 in one group.

I guess you can tell that the Committee members weren't all Knights; ... but be kind, and give the benefit of the doubt to as many as possible.

How many men / women / children attended the party?

How many of the committee members are Knaves?

Who are they?

Please be considerate and conceal your answer in a spoiler.

[Guest]

In the Land of Knights and Knaves [LKK], Knights always tell the truth, and Knaves always lie.

Last night the LKK Community Center Committee threw a party for some of the children.

Some adults were there, also, as chaperones.

The six-person LKKCCC was talking about it afterwards:

Alice: I counted all the Men and Children that came. There were 9 total.

Barbara: I counted two more Women than Children.

Clarice: I was playing Cupid and decided there were exactly 24 possible Man-Woman couples here tonight.

Daniel: Of the groups of Men, Women and Children, I counted 4 in one group.

Elliot: Of the groups of Men, Women and Children, I counted 6 in one group.

Fred: Of the groups of Men, Women and Children, I counted 8 in one group.

I guess you can tell that the Committee members weren't all Knights; ... but be kind, and give the benefit of the doubt to as many as possible.

How many men / women / children attended the party?

How many of the committee members are Knaves?

Who are they?

Please be considerate and conceal your answer in a spoiler.

LKKCC is a very truthful committee indeed, but their parties for children suck !

I have tried to solve this problem under the condition to maximize the number of Knights.

Thus;

Child=1

Men=8

Women=3

1 committee member is a Knave at least (One of Elliot or Fred)

This makes Statement 1, 2 & 3 true.

Now the grouping of 12 people can be 4+6+2 or 4+8, to maximize the number of Knights,, but in either case not all of them can be telling truth. Hence, either Elliot is lying or Fred is. But that makes it possible for only one Knave to be there in the committee!

But still, only one child in the party for children!! That sucks !