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

Find BC please in the picture
How many hours is from 10:30 to 2:50
Complete the following dialogue with the correct pronoun below: "Vous répondez aux journalistes?" "Oui, nous _____ répondons." A. le B. les C. leur
Solve. 11m - 15 -5m= 9
2 Points What is the measure of the radius of OM? A. 14.8 units 10.5 B. 10.5 units 10.5 c. 21.0 units D. 5.25 units
The value of cos1°.cos2°.cos3°.............cos179° is......?​
A “bird’s foot” delta configuration, similar to that of the Mississippi River delta, forms when the ________. A. oceanic current exceeds the river current
It took you four months to find a job, and you were almost out of money, when you finally landed your position. Today your boss asked you to do something you th
Briefly differentiate "White Matter" & "Grey Matter".
What is one of the main purposes of irony? O A. To inspire the reader's imagination O B. To provide a contradiction O C. To personify non-human things O D. To c