Question

ПОМОГИТЕ СРОЧНО ПЖ!! Если фокусник кладёт в свой цилиндр 1 голубку, он достаёт из него 2 кроликов и 2 цветка. Если фокусник кладёт в цилиндр 1 кролика, он достаёт 2 цветка и 2 голубок. Если он кладёт 1 цветок, он достаёт 1 кролика и 3 голубок. Фокусник начал с 1 кролика. Может ли он, выполнив фокус несколько раз, получить в итоге равное количество голубок, кроликов и цветов? Если да, то приведите пример, а если нет, то объясните почему. Ответ.

Answer 1

Ответ:нет

Так как первые два предмета, больше третьего на два почти всегда

Answer 2

Problem Analysis

The problem describes a scenario where a magician puts different objects into a cylinder and retrieves a different number and combination of objects each time. The magician starts with one rabbit and wants to know if it is possible to perform the trick multiple times and end up with an equal number of rabbits, flowers, and doves (or pigeons).

Solution

To determine if it is possible to end up with an equal number of rabbits, flowers, and doves, we need to analyze the given conditions and see if there is a consistent pattern that allows for such an outcome.

Let's analyze the given conditions:

1. If the magician puts one dove into the cylinder, he retrieves one rabbit and three doves. 2. If the magician puts one rabbit into the cylinder, he retrieves two flowers and two doves. 3. If the magician puts one flower into the cylinder, he retrieves one rabbit and two doves.

Based on these conditions, we can see that each time the magician puts an object into the cylinder, the number of rabbits increases by one, and the number of doves increases by two. The number of flowers, however, does not follow a consistent pattern.

Since the number of rabbits and doves always increases by a fixed amount, it is not possible to end up with an equal number of rabbits, flowers, and doves. The number of rabbits and doves will always be greater than the number of flowers.

Therefore, it is not possible for the magician to perform the trick multiple times and end up with an equal number of rabbits, flowers, and doves.

Example

As explained above, it is not possible to end up with an equal number of rabbits, flowers, and doves. However, let's provide an example to illustrate this further.

Let's say the magician performs the trick three times:

1. Initial state: 1 rabbit, 0 flowers, 0 doves. 2. After the first trick (putting a rabbit into the cylinder): 2 rabbits, 2 flowers, 2 doves. 3. After the second trick (putting a dove into the cylinder): 2 rabbits, 2 flowers, 4 doves. 4. After the third trick (putting a flower into the cylinder): 3 rabbits, 2 flowers, 6 doves.

As we can see, the number of rabbits and doves keeps increasing, while the number of flowers remains the same or decreases. Therefore, it is not possible to end up with an equal number of rabbits, flowers, and doves.

Conclusion

In conclusion, it is not possible for the magician to perform the trick multiple times and end up with an equal number of rabbits, flowers, and doves. The number of rabbits and doves will always be greater than the number of flowers.