If `.^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3`, find the values of n and r.

Explanation

To solve the problem, we need to find the values of \( n \) and \( r \) given the ratios of combinations:

\[ \frac{{^{n+1}C_{r+1}}}{{^{n}C_{r}}} : \frac{{^{n}C_{r}}}{{^{n-1}C_{r-1}}} = 11 : 6 : 3 \]

### Step 1: Set up the equations from the ratios

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