Question

Сколькими способами Наташа и Даша могут разделить между собой 2 конфеты, 2 пряника и 2 вафли так, чтобы каждая получила по 3 лакомства.

Answer 1

Ответ:7

Пошаговое объяснение:

1

наташа 2 конфеты и 1 пряник

даша 2 вафли и 1 пряник

2

наташа 2 вафли и 1 пряник

даша 2 конфеты и 1 пряник

3

наташа 2 пряника и 1 конфету

даша 2 вафли и 1 конфету

4

наоборот

5

каждая по 1 виду всего

6

наташа 1 вафлю и 2 пряника

даша 2 конфеты и 1 вафлю

7

наоборот

Answer 2

Ways to Divide the Treats

Natasha and Dasha want to divide 2 candies, 2 gingerbread cookies, and 2 waffles between themselves in such a way that each of them receives 3 treats. Let's consider the different ways they can divide the treats.

To find the number of ways, we can use the concept of combinations. In this case, we need to find the number of combinations of 2 candies, 2 gingerbread cookies, and 2 waffles taken 3 at a time for each person.

The formula for finding combinations is:

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

Where: - n is the total number of items - r is the number of items to be selected

Let's calculate the number of ways Natasha and Dasha can divide the treats:

1. First, let's consider the candies. Since there are only 2 candies, both Natasha and Dasha must receive 1 candy each. So, there is only 1 way to divide the candies.

2. Next, let's consider the gingerbread cookies. Since there are 2 cookies, both Natasha and Dasha must receive 1 cookie each. Again, there is only 1 way to divide the cookies.

3. Finally, let's consider the waffles. Since there are 2 waffles, both Natasha and Dasha must receive 1 waffle each. Once again, there is only 1 way to divide the waffles.

Therefore, the total number of ways Natasha and Dasha can divide the treats is the product of the number of ways to divide each type of treat:

Total number of ways = Number of ways to divide candies * Number of ways to divide cookies * Number of ways to divide waffles

Total number of ways = 1 * 1 * 1 = 1

So, Natasha and Dasha can divide the treats between themselves in only 1 way, where each of them receives 1 candy, 1 gingerbread cookie, and 1 waffle.

Please let me know if you found this information helpful or if you have any further questions!