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If .^(15)C(r): .^(15)C(R-1) = 11:5, then...

If `.^(15)C_(r): .^(15)C_(R-1) = 11:5`, then find the value of 'r'.

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To solve the equation \(\frac{^{15}C_r}{^{15}C_{r-1}} = \frac{11}{5}\), we will use the properties of combinations. ### Step-by-Step Solution: 1. **Write the Combinations in Factorial Form**: \[ ^{15}C_r = \frac{15!}{(15-r)! \cdot r!} \] ...
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