Question

В коробке сидят котята: 2 чёрных, 2 рыжих и 1 полосатый. Сколькими способами можно выбрать трёх котят так, чтобы они все были разной окраски?А) 1В) 4С) 3D) 5E) 2С решением, пожалуйста.

Answer 1

Нужно выбрать трёх котят так, чтобы все они были разного окраса, значит один должен быть чёрный, второй - рыжий, а третий полосатый.
Имеются котята: 2 чёрных, 2 рыжих и 1 полосатый
Из 2-х чёрных выбрать одного можно двумя способами (2 сп.)
Из 2-х рыжих выбрать одного можно двумя способами (2 сп.)
И один способ выбрать полосатого кота (1 сп.)
Перемножаем количество способов: 2*2*1=4(способа)-всего
Ответ: В) 4 способа

Answer 2

Все это: ч1-ч2-р1-р2-п
1) ч1-р1-п
2) ч1-р2-п
3) ч2-р1-п
4) ч2-р2-п
ответ 3

Answer 3

Problem Analysis

In the given problem, we have a box with 2 black kittens, 2 ginger kittens, and 1 striped kitten. We need to determine the number of ways we can choose three kittens such that they are all of different colors.

Solution

To solve this problem, we can consider the different cases based on the colors of the kittens.

Case 1: Choosing one black, one ginger, and one striped kitten In this case, we have 2 choices for the black kitten, 2 choices for the ginger kitten, and 1 choice for the striped kitten. Therefore, the number of ways to choose one black, one ginger, and one striped kitten is 2 * 2 * 1 = 4.

Case 2: Choosing one black, one striped, and one ginger kitten In this case, we have 2 choices for the black kitten, 1 choice for the striped kitten, and 2 choices for the ginger kitten. Therefore, the number of ways to choose one black, one striped, and one ginger kitten is 2 * 1 * 2 = 4.

Case 3: Choosing one ginger, one black, and one striped kitten In this case, we have 2 choices for the ginger kitten, 2 choices for the black kitten, and 1 choice for the striped kitten. Therefore, the number of ways to choose one ginger, one black, and one striped kitten is 2 * 2 * 1 = 4.

Case 4: Choosing one ginger, one striped, and one black kitten In this case, we have 2 choices for the ginger kitten, 1 choice for the striped kitten, and 2 choices for the black kitten. Therefore, the number of ways to choose one ginger, one striped, and one black kitten is 2 * 1 * 2 = 4.

Case 5: Choosing one striped, one black, and one ginger kitten In this case, we have 1 choice for the striped kitten, 2 choices for the black kitten, and 2 choices for the ginger kitten. Therefore, the number of ways to choose one striped, one black, and one ginger kitten is 1 * 2 * 2 = 4.

Case 6: Choosing one striped, one ginger, and one black kitten In this case, we have 1 choice for the striped kitten, 2 choices for the ginger kitten, and 2 choices for the black kitten. Therefore, the number of ways to choose one striped, one ginger, and one black kitten is 1 * 2 * 2 = 4.

Adding up the number of ways from all the cases, we get a total of 4 + 4 + 4 + 4 + 4 + 4 = 24 ways to choose three kittens such that they are all of different colors.

Therefore, the correct answer is 24 (C).

Answer

The number of ways to choose three kittens from the box such that they are all of different colors is 24 (C).