Question

Васю,Толю,Федю и Колю спросили, пойдут ли они в кино. Вася сказал: ( если коля пойдет, то я пойду). Толя сказал: ( если Федя пойдет, то я не пойду, а если он не пойдет, то я пойду). Федя сказал: (если не пойдет коля, то и я не пойду). Коля сказал:( я пойду только с Федей и Толей). Кто из ребят пошло в кино?

Answer 1

Пойдут в кино Вася + Толя!

Коля пойдет только с Толей и Федей, но они не могут идти вместе. Значит Коля не пойдет!

Если не идет Коля, то и Федя не идет!

Answer 2

Пойдут в кино Вася и Толя

Answer 3

Problem Analysis

The problem presents a scenario where four individuals, Vasya, Tolya, Fyodor, and Kolya, are asked if they will go to the cinema. Each person responds with a condition based on the actions of another person. We need to determine which of the boys went to the cinema based on their responses.

Solution

Let's analyze each person's response:

- Vasya said, "If Kolya goes, then I will go." - Tolya said, "If Fyodor goes, then I won't go. But if he doesn't go, then I will go." - Fyodor said, "If Kolya doesn't go, then I won't go." - Kolya said, "I will only go with Fyodor and Tolya."

Based on these responses, we can deduce the following:

1. If Kolya goes, then Vasya will go. 2. If Fyodor goes, then Tolya won't go. If Fyodor doesn't go, then Tolya will go. 3. If Kolya doesn't go, then Fyodor won't go. 4. Kolya will only go if Fyodor and Tolya go.

Let's analyze these conditions step by step:

1. If Kolya goes, then Vasya will go. This means that if Kolya goes to the cinema, Vasya will also go. 2. If Fyodor goes, then Tolya won't go. If Fyodor doesn't go, then Tolya will go. This means that if Fyodor goes to the cinema, Tolya won't go. If Fyodor doesn't go, Tolya will go. 3. If Kolya doesn't go, then Fyodor won't go. This means that if Kolya doesn't go to the cinema, Fyodor won't go either. 4. Kolya will only go if Fyodor and Tolya go. This means that Kolya will only go to the cinema if both Fyodor and Tolya go.

Based on these conditions, we can deduce the following:

- If Kolya goes, then Vasya will go. - If Fyodor goes, then Tolya won't go. If Fyodor doesn't go, Tolya will go. - If Kolya doesn't go, then Fyodor won't go. - Kolya will only go if Fyodor and Tolya go.

Let's analyze the possibilities:

1. If Kolya goes, then Vasya will go. But Kolya will only go if Fyodor and Tolya go. Therefore, if Kolya goes, Fyodor and Tolya must also go for Vasya to go. 2. If Fyodor goes, then Tolya won't go. If Fyodor doesn't go, Tolya will go. This means that if Fyodor goes, Tolya won't go. If Fyodor doesn't go, Tolya will go. 3. If Kolya doesn't go, then Fyodor won't go. This means that if Kolya doesn't go, Fyodor won't go either.

Based on these conditions, we can deduce the following possibilities:

1. If Kolya goes, then Vasya, Fyodor, and Tolya will go. 2. If Fyodor goes, then Tolya won't go. 3. If Kolya doesn't go, then Fyodor won't go.

From these possibilities, we can conclude that Vasya, Fyodor, and Kolya went to the cinema.

Answer

Based on the given conditions, Vasya, Fyodor, and Kolya went to the cinema.