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
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