Question

На острове живут рыцари, которые всегда говорят правдуЛжецы. которые всегда врут. И хитрецы. которые поочередно отвечают то правду. то ложь.Каждому жителя острова было задано два вопроса: "вы рыцарь?" "Вы хитрец?" ответ "ДА" на первый вопрос дали 17 человек, на второй-12. Сколько рыцарей на острове?

Answer 1

Только 5 человек так, как он могут врать скорей всего так

Answer 2

The Island of Knights, Liars, and Tricksters

On the island, there are three types of inhabitants: knights, who always tell the truth, liars, who always lie, and tricksters, who alternate between telling the truth and lying. Each inhabitant was asked two questions: "Are you a knight?" and "Are you a trickster?" The answers given were "YES" to the first question by 17 people and "YES" to the second question by 12 people. We need to determine how many knights are on the island.

To solve this problem, let's analyze the given information step by step.

Analyzing the Given Information

1. 17 people answered "YES" to the question "Are you a knight?" This means that at least 17 people are knights or tricksters who happened to be telling the truth when asked this question.

2. 12 people answered "YES" to the question "Are you a trickster?" This means that at least 12 people are tricksters or knights who happened to be lying when asked this question.

Determining the Number of Knights

To find the number of knights on the island, we need to consider the possibilities based on the given information.

1. Let's assume that all 17 people who answered "YES" to the question "Are you a knight?" are actually knights. In this case, all 12 people who answered "YES" to the question "Are you a trickster?" would be tricksters. However, this would contradict the fact that tricksters alternate between telling the truth and lying. Therefore, this assumption is not valid.

2. Let's assume that all 17 people who answered "YES" to the question "Are you a knight?" are actually tricksters. In this case, all 12 people who answered "YES" to the question "Are you a trickster?" would be knights. This assumption is valid because tricksters can tell the truth. Therefore, the number of knights on the island is 12.

Conclusion

Based on the given information, there are 12 knights on the island.