Question

Here is my question:simplify 8c5

Answer 1

Given,

The expression is 8c5.

The formula for mCn is,

`^mC_n=(m!)/(n!(m-n)!)`

By using the above formula,

`\begin{gathered} ^8C_5=(8!)/(5!*(8-5)!) \\ =(8!)/(5!*3!) \\ =(8*7*6*5!)/(5!*3!) \\ =(8*7*6)/(3*2*1) \\ =8*7 \\ =56 \end{gathered}`

Hence, the value of 8c5 is 56.