If `(""^(n+2)C_(6))/(""^(n-2)P_(2))=11`, then n satifes the equation

Options

A. `n^(2)+n-110=0`
B. `n^(2)+5n-84=0`
C. `n^(2)+3n-108=0`
D. `n^(2)+2n=0`

Explanation

To solve the equation \(\frac{{(n+2)C_6}}{{(n-2)P_2}} = 11\), we will follow these steps:

### Step 1: Write the formulas for combinations and permutations
The combination formula is given by:
\[ nCr = \frac{{n!}}{{r!(n-r)!}} \]
The permutation formula is given by:
...