alexsmooth1 alexsmooth1
  • 07-09-2020
  • Mathematics
contestada

Simplify the following expression.
4
₃ 4
O A. 12
OB.
1
64
OC.
1
12
OD. 64
Help don’t very much understand

Respuesta :

jimrgrant1 jimrgrant1
  • 07-09-2020

Answer:

1

Step-by-step explanation:

Using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)......

Thus

4[tex]C_{4}[/tex]

= [tex]\frac{4!}{4!(4-4)!}[/tex] ← cancel 4! on numerator and denominator

= [tex]\frac{1}{0!}[/tex] { 0! = 1 ]

= [tex]\frac{1}{1}[/tex]

= 1

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