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

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