Question

If nC1=5/18nC5 then find the value of n​

Answer 1

$\binom{n}{1} = \frac{5}{18} \binom{n}{5} \\ n = \frac{5}{18} \times \: \frac{n (n - 1) (n - 2)(n - 3) (n - 4)}{120} \\ (n - 1) (n - 2)(n - 3) (n - 4) = 18 \times 24 \\ by \: hit \: and \: trail \: method \\ no \: solution$