Question

СРОЧНО!Сколькими способами можно выбрать 5 женщин и 7 мужчин из группы, состоящей из 20 человек, среди которых 12 мужчин.

Answer 1

Ответ: 44352 способами.

Пошаговое объяснение:

Число таких способов n=C(8,5)*C(12,7), где C(n,k) - число сочетаний из n по k. Отсюда n=44352.

Answer 2

Calculating the Number of Ways to Choose 5 Women and 7 Men

To calculate the number of ways to choose 5 women and 7 men from a group of 20 people, among whom 12 are men, we can use the combination formula.

The formula for combinations is given by:

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

Where: - n is the total number of items - r is the number of items to choose - ! denotes factorial, which is the product of all positive integers up to that number

Using this formula, we can calculate the number of ways to choose 5 women and 7 men from the group.

Calculation

The number of ways to choose 5 women from 8 women (20 - 12) is given by 8C5, and the number of ways to choose 7 men from 12 men is given by 12C7.

8C5 = 8! / (5! * (8-5)!). 12C7 = 12! / (7! * (12-7)!).

Let's calculate these values.

Result

8C5 = 56. 12C7 = 792.

Therefore, there are 56 ways to choose 5 women and 7 men from the given group of 20 people.