Question

Use the formula for nCr, to evaluate the given expression.8C5

Answer 1

Step-by-step explanation:

The question requires that we resolve the question using the combination technique

`^8C_5`

The general combination formula is given by

`^pC_r=(p!)/(r!(p-r)!)`

Therefore

Applying the formula, we will have

`^8C_5=(8!)/(5!*3!)=(8*7*6*5!)/(5!*3*2)`

Simplifying further

`\begin{gathered} ^8C_5=8*7 \\ ^8C_5=56 \end{gathered}`

Therefore, the answer is 56