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

which foods earthworms can digest?
let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)
which of the following expressions does not equal: the sixth root of 81x^4y^8 a. (3xy^2)^2/3 b. (3x)^2/3y^4/3 c. (3x^2y^4)^1/3 d. cube root of 9x^2y^4
You would expect a phosphorous-chlorine bond to be 1. nonpolar, with the neither end having a partial charge. 2. polar, with neither end having a partial charge
f f(x) = 2x2 and g(x) = 3x, what is (g o f)(x) a. 6x2 b. 9x2 c. 18x2 d. 8x4
what is force ?is it desirable or undesirable?
which foods earthworms can digest?
what is force ?is it desirable or undesirable?
You shoot an arrow set a target. The parabolic path of the arrow passes through the points shown in table. X. Y 30. 6 60. 7 100. 4 A. Find a quadratic function
If 52 x equals 7800 y what does 1 x equal? What is the maths equation?