Question 2
At a party, there are $200$ people, each of whom is either a liar (a person who always tells a lie) or a truth teller (a person who always tells the truth). During the party, some of them shake hands with each other. However, the room is too dark, so it is impossible to determine which pairs of people shook hands.
After the party, each person was asked:
“How many truth tellers did you shake hands with?”
The answer the $n$th person gives is $n-1$, where $n=1,2,3,\ldots,200$.
How many liars were at the party?
After the party, each person was asked:
“How many truth tellers did you shake hands with?”
The answer the $n$th person gives is $n-1$, where $n=1,2,3,\ldots,200$.
How many liars were at the party?