Answer :
Given:
[tex]\begin{gathered} ^6C_6 \\ \\ ^8C_0 \end{gathered}[/tex]Required:
To evaluate the given expression.
Explanation:
Consider
[tex]\begin{gathered} ^6C_6=\frac{6!}{(6-6)!6!} \\ \\ =\frac{6\times5\times4\times3\times2\times1}{1\times6\times5\times4\times3\times2\times1} \\ \\ =1 \end{gathered}[/tex][tex]\begin{gathered} ^8C_0=\frac{8!}{(8-0)!0!} \\ \\ =\frac{8!}{8!\times1} \\ \\ =1 \end{gathered}[/tex]Final Answer:
[tex]\begin{gathered} ^6C_6=1 \\ \\ ^8C_0=1 \end{gathered}[/tex]