Question

3. Is there another method to determine this value besides a calculator? What are the pros and cons to using the nCr function on yourgraphing calculator in comparison to the other method(s) you mentioned?

Answer 1

Given:

The expression is:

`_(12)C_5`

Find-:

The value of the expression

Explanation-:

The formula of:

`_nC_r`

Combination formula:

`_nC_r=(n!)/((n-r)!r!)`

The given expression is:

`\begin{gathered} n=12 \\ \\ r=5 \end{gathered}`

So, the value is:

`\begin{gathered} _(12)C_5=(12!)/((12-5)!5!) \\ \\ =(12*11*10*9*8*7!)/(7!*5!) \\ \\ =(12*11*10*9*8)/(5!) \\ \\ =(12*11*10*9*8)/(5*4*3*2*1) \\ \\ =792 \end{gathered}`

The value is 792.