Question

В вазе стоят 12 красных и 10 жёлтых роз. Сколькими способами можно выбрать из вазы букет, состоящий из 7 красных и 2 желтых. С решением пожалуйста!​

Answer 1

Ответ:

красных-12 роз

желтых-10 роз

сколькими способами можно выбрать из вазы букет, состоящий из 7 красных и 2 жёлтых?

Пошаговое объяснение:

РЕШЕНИЕ: 1 СПОСОБ

1)12+10=22 всего

2)7+2=9 красных и жёлтых роз нужно

3)22-9=13 роз

2 СПОСОБ

1)12-7=5 красных

2)10-8=2 жёлтых

ВСЕ ЗАДАЧА ОЧЕНЬ ЛЕГКАЯ!

Answer 2

Problem Analysis

We have a vase with 12 red roses and 10 yellow roses. We need to determine the number of ways we can choose a bouquet consisting of 7 red roses and 2 yellow roses.

Solution

To solve this problem, we can use the concept of combinations. The number of ways to choose a bouquet can be calculated using the formula for combinations:

C(n, k) = n! / (k! * (n-k)!)

Where: - n is the total number of items (in this case, the total number of red roses) - k is the number of items to be chosen (in this case, the number of red roses in the bouquet)

Let's calculate the number of ways to choose a bouquet of 7 red roses from the 12 available:

C(12, 7) = 12! / (7! * (12-7)!)

Simplifying the equation:

C(12, 7) = (12 * 11 * 10 * 9 * 8 * 7!) / (7! * 5!)

The factorials in the numerator and denominator cancel out, leaving us with:

C(12, 7) = (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1)

Calculating the numerator and denominator:

C(12, 7) = 66,528 / 120

Simplifying the fraction:

C(12, 7) = 554

So, there are 554 ways to choose a bouquet consisting of 7 red roses from the vase.

Now, let's calculate the number of ways to choose 2 yellow roses from the 10 available:

C(10, 2) = 10! / (2! * (10-2)!)

Simplifying the equation:

C(10, 2) = (10 * 9) / (2 * 1)

Calculating the numerator and denominator:

C(10, 2) = 90 / 2

Simplifying the fraction:

C(10, 2) = 45

So, there are 45 ways to choose 2 yellow roses from the vase.

To calculate the total number of ways to choose a bouquet consisting of 7 red roses and 2 yellow roses, we multiply the number of ways to choose the red roses by the number of ways to choose the yellow roses:

Total number of ways = C(12, 7) * C(10, 2)

Total number of ways = 554 * 45

Calculating the product:

Total number of ways = 24,930

Therefore, there are 24,930 ways to choose a bouquet consisting of 7 red roses and 2 yellow roses from the vase.

Answer

There are 24,930 ways to choose a bouquet consisting of 7 red roses and 2 yellow roses from the vase.

Please let me know if you need any further assistance!