mbmrichie2734 mbmrichie2734
  • 23-07-2020
  • Mathematics
contestada

A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 3 men and 5 women be chosen?

Respuesta :

ktwong1
ktwong1 ktwong1
  • 23-07-2020

Answer:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

56 * 462 = 25872

Answer Link

Otras preguntas

Unlike most of the asian population most europeans live.
can someone help? No explanation needed :')
A carpenter cut three 4ft 6in shelves from a 14ft board. How long a piece was left over?.
What is the solution to the equation? −6=x8 Enter your answer in the box.
which era has had the greatest influence on cosmetology
What is the purpose of an executive order?
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32). Round your ANSWER to the nearest degree. Select one: a. 126°C b. 21°C c. 158°C d. 53°C
Which of the below mentioned operating system is not a proprietary os.
What is the “herd instinct”? According to de Waal, what might be a potential downside to this part of human nature?
Besides Asia, which continent has a population of over one billion? O Africa O North America O Europe O Oceania