Respuesta :

[tex]\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad \begin{cases} n=\textit{total elements}\\ r=\textit{partials}\\ --------\\ n=7\\ r=6 \end{cases}\implies _7C_6=\cfrac{7!}{6!(7-6)!}[/tex]

The combination value of 7C6 is 7

What is combination ?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

Formula of number of combination is

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

Therefore,

[tex]7C6=\frac{7!}{6!(7-6)!}[/tex]

7!=7×6×5×4×3×2×1

7!=5040

6!=6×5×4×3×2×1

6!=720

(7-6)!=1!

1!=1

Substitute the value in the equation

[tex]7C6=\frac{5040}{720(1)}[/tex]

7C6=7

Hence, the value of the combination 7C6 is 7

Learn more about combination here

https://brainly.com/question/27325185

#SPJ2