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