Question

EVALUATE EACH OF THE FOLLOWING. LEAVE ANSWER IN REDUCED FRACTION FORM. DO NOT LEAVE ANSWER IN DECIMAL FORM.A) _6C6_8C0 = __________

Answer 1

Given:

`\begin{gathered} ^6C_6 \\ \\ ^8C_0 \end{gathered}`

Required:

To evaluate the given expression.

Step-by-step explanation:

Consider

`\begin{gathered} ^6C_6=(6!)/((6-6)!6!) \\ \\ =(6*5*4*3*2*1)/(1*6*5*4*3*2*1) \\ \\ =1 \end{gathered}`
`\begin{gathered} ^8C_0=(8!)/((8-0)!0!) \\ \\ =(8!)/(8!*1) \\ \\ =1 \end{gathered}`

Final Answer:

`\begin{gathered} ^6C_6=1 \\ \\ ^8C_0=1 \end{gathered}`