Question

На острове живет 20 белых и 25 черных хамелеонов . При встрече оба хамелеона меняют свой цвет на противоположный. Возможно ли, что все хамелеоны станут одного цвета? ОТВЕТ ДОКАЗАТЬ .

Answer 1

Нет, потому что если они подменяют свет на противоположный они останутся другого цвета и ничего не изменится

Answer 2

Analysis and Solution

To determine if it is possible for all the chameleons on the island to become the same color, we need to consider the initial distribution of white and black chameleons and the color-changing behavior when they meet.

Let's analyze the situation step by step:

1. There are initially 20 white chameleons and 25 black chameleons on the island. 2. When two chameleons meet, they both change their color to the opposite of what they were before the meeting.

Now, let's consider the possible scenarios:

1. If the initial distribution of chameleons is such that there are an equal number of white and black chameleons, then every time two chameleons meet, one white and one black, they will change their colors and the distribution will remain balanced. In this case, it is not possible for all the chameleons to become the same color.

2. If the initial distribution of chameleons is such that there are more chameleons of one color than the other, then it is possible for all the ch