Question

Решение комбинаторных задач Реши задачу и выбери ответ.Сколько пар можно составить из красного, зелёного, белого и жёлтого шаров?42126​

Answer 1

Пар можно составить из 6

1) Красный, зелёный

2) красный, белый

3) красный, жёлтый

4) зелёный, жёлтый

5) зелёный, белый

6) белый, жёлтый

Answer 2

Ответ:

6

Пошаговое объяснение:

красный-зелёный

красный-белый

красный-жёлтый

зелёный-жёлтый

зелёный-белый

белый-жёлтый

Answer 3

Combinatorics Problem: Counting Pairs of Balls

To solve this combinatorial problem, we can use the concept of combinations to determine the number of pairs that can be formed from the given set of colored balls.

Step 1: Identify the Number of Balls First, let's identify the number of each colored ball: - Red balls: 4 - Green balls: 2 - White balls: 1 - Yellow balls: 2

Step 2: Calculate the Number of Pairs To calculate the number of pairs that can be formed, we can use the formula for combinations, which is given by: \[ C(n, r) = \frac{n!}{r!(n-r)!} \] Where: - \( n \) is the total number of items - \( r \) is the number of items to choose

Step 3: Calculate the Combinations Now, let's calculate the number of pairs that can be formed using the given colored balls.

- Red Balls: We have 4 red balls, so the number of pairs of red balls can be calculated using \( C(4, 2) \). - Green Balls: We have 2 green balls, so the number of pairs of green balls can be calculated using \( C(2, 2) \) (since we can choose both green balls). - White Balls: We have 1 white ball, so the number of pairs of white balls is 0, as we need at least 2 white balls to form a pair. - Yellow Balls: We have 2 yellow balls, so the number of pairs of yellow balls can be calculated using \( C(2, 2) \) (since we can choose both yellow balls).

Step 4: Calculate the Total Number of Pairs Finally, we can sum up the number of pairs from each color to find the total number of pairs that can be formed.

Total Number of Pairs

The total number of pairs that can be formed from the given colored balls is the sum of pairs from each color: - Pairs from red balls: \( C(4, 2) \) - Pairs from green balls: \( C(2, 2) \) - Pairs from white balls: 0 - Pairs from yellow balls: \( C(2, 2) \)

By calculating the combinations for each color, we can determine the total number of pairs that can be formed from the given set of colored balls.

Let's calculate the combinations for each color and find the total number of pairs.