Given,
The expression is 8c5.
The formula for mCn is,
[tex]^mC_n=\frac{m!}{n!(m-n)!}[/tex]By using the above formula,
[tex]\begin{gathered} ^8C_5=\frac{8!}{5!\times(8-5)!} \\ =\frac{8!}{5!\times3!} \\ =\frac{8\times7\times6\times5!}{5!\times3!} \\ =\frac{8\times7\times6}{3\times2\times1} \\ =8\times7 \\ =56 \end{gathered}[/tex]Hence, the value of 8c5 is 56.
