Question

В группе 5 девочек и 6 мальчиков сколькими способами из этой группы можно выбрать пару- одного мальчика и одну девочку? ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!!!!

Answer 1

Каждой из 5 девочек можно поставить в пару любого из 6 мальчиков,получается 5×6=30

Answer 2

Calculating the Number of Ways to Choose a Pair

To calculate the number of ways to choose a pair consisting of one boy and one girl from a group of 5 girls and 6 boys, we can use the concept of combinations.

The number of ways to choose a pair can be calculated using the formula for combinations, which is given by:

nCr = n! / (r! * (n-r)!)

Where: - n is the total number of items to choose from - r is the number of items to choose - nCr represents the number of ways to choose r items from n items without considering the order

In this case, we want to choose 1 boy from 6 boys and 1 girl from 5 girls.

Calculation

Using the formula for combinations, we can calculate the number of ways to choose a pair from the given group:

6C1 * 5C1

Let's calculate this step by step.

Step 1: Calculate 6C1

6C1 represents choosing 1 boy from 6 boys. Using the formula, we get:

6C1 = 6! / (1! * (6-1)!) = 6

Step 2: Calculate 5C1

5C1 represents choosing 1 girl from 5 girls. Using the formula, we get:

5C1 = 5! / (1! * (5-1)!) = 5

Step 3: Multiply the Results

Now, we multiply the results from Step 1 and Step 2 to get the total number of ways to choose a pair:

6C1 * 5C1 = 6 * 5 = 30

So, there are 30 ways to choose a pair consisting of one boy and one girl from the given group of 5 girls and 6 boys.