Given:
The expression is:
[tex]_{12}C_5[/tex]
Find-:
The value of the expression
Explanation-:
The formula of:
[tex]_nC_r[/tex]
Combination formula:
[tex]_nC_r=\frac{n!}{(n-r)!r!}[/tex]
The given expression is:
[tex]\begin{gathered} n=12 \\ \\ r=5 \end{gathered}[/tex]
So, the value is:
[tex]\begin{gathered} _{12}C_5=\frac{12!}{(12-5)!5!} \\ \\ =\frac{12\times11\times10\times9\times8\times7!}{7!\times5!} \\ \\ =\frac{12\times11\times10\times9\times8}{5!} \\ \\ =\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} \\ \\ =792 \end{gathered}[/tex]
The value is 792.
