Respuesta :
[tex] \displaystyle C(9,3) = {9 \choose 3} = \dfrac{9 \cdot 8 \cdot 7}{3 \cdot 2 \cdot 1} = 3(4)(7)=84[/tex]
second choice
Using the combination formula, it is found that C(9,3) = 84.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Hence, applying the above formula for n = 9, x = 3:
[tex]C_{n,x} = \frac{9!}{3!6!} = 84[/tex]
Thus, it is found that C(9,3) = 84.
More can be learned about the combination formula at https://brainly.com/question/25821700