Respuesta :

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