Question

По кругу стоят 10 человек. Каждого спросили, кто стоит справа от него, рыцарь или лжец? Могло ли так случиться, что ровно один человек ответил: «лжец»? Каждый из них либо рыцарь, либо лжец

Answer 1

Я очень продумала, прорешала на черновике и решение токого:
4*10=40
Я отличница
Я сейчас на продленке до сих пор и у училки спросила она сказала правильно

Answer 2

The Problem

The problem states that there are 10 people standing in a circle. Each person is asked who is standing to their right, a knight or a liar. The question is whether it is possible for exactly one person to answer "liar." It is also mentioned that each person is either a knight or a liar.

Analysis

To solve this problem, let's consider the possible scenarios. Since each person is either a knight or a liar, there are two possibilities for each person's response: they can either tell the truth or lie.

Let's assume that the people are numbered from 1 to 10 in clockwise order. Person 1 is asked about the person standing to their right, Person 2 is asked about the person standing to their right, and so on, until Person 10 is asked about the person standing to their right (Person 1).

If we assume that exactly one person answers "liar," then there are two possible scenarios: 1. The person who answers "liar" is telling the truth. 2. The person who answers "liar" is lying.

Let's analyze each scenario separately.

Scenario 1: The person who answers "liar" is telling the truth

If the person who answers "liar" is telling the truth, it means that the person standing to their right is a liar. In this case, we can conclude that the person standing to the right of the person who answered "liar" is a knight. However, this would mean that there are two people who are telling the truth, which contradicts the initial assumption that only one person answers "liar." Therefore, this scenario is not possible.

Scenario 2: The person who answers "liar" is lying

If the person who answers "liar" is lying, it means that the person standing to their right is a knight. In this case, we can conclude that the person standing to the right of the person who answered "liar" is a liar. However, this would mean that there are two people who are lying, which contradicts the initial assumption that only one person answers "liar." Therefore, this scenario is also not possible.

Conclusion

Based on the analysis, it is not possible for exactly one person to answer "liar" in this scenario. Regardless of whether the person who answers "liar" is telling the truth or lying, it leads to a contradiction. Therefore, it is not possible for exactly one person to answer "liar" in this situation.

Please note that this analysis is based on the assumption that each person is either a knight or a liar, and there are no other possibilities.