JaeleneI92525 JaeleneI92525
  • 03-11-2022
  • Mathematics
contestada

Evaluate the following expression.C(8,3)C=combinations

Respuesta :

OmniG115691 OmniG115691
  • 03-11-2022

The formula for combination is

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

C represents the number of combinations

n represents the total number of objects to choose from

r represents the number of items selscted from n

From the information given,

n = 8 and r = 3

8C3 = 8!/(8 - 3)!3!

= 8! /5!3!

= 8 * 7 * 6 * 5 * 4 * 3!/5 * 4 * 3 * 2 * 1 * 3!

The 3! cancels out. It becomes

8 * 7 * 6 * 5 * 4 /5 * 4 * 3 * 2 * 1

= 6720/120

= 56

The answer is 56

Answer Link

Otras preguntas

Over half of all French people go on vacation in June and August True False
Why were asian spices in the 1300's so expensive by the time they reached europe?
What is 15% of 3220?
which is the best definition of an exterior angle of a triangle
Why is the sarcoplasmic reticulum. How does it aid in the stimulation of muscle contraction?
The particles of a suspension are dissolved into the solvent true or false
When evaluating sources for a compare-and-contrast paragraph, you can tell if a source’s argument is objective if it A. appeals to logic and reason rather than
Which of the following is not part of necessary outdoor preparations.? A:Tell someone where you’re going. B:Make sure your cell phone is charged. C:Check the
Minimalist composers use repeating ___________ and harmonies that change gradually.
What movement of Earth is responsible for night and day? perigee precession revolution rotation