# It's time to solve Combinatorics

**Discrete Mathematics**Level 3

If \(\, C(2n,2) = a C(n,2) + n^b \), where \(a\) and \(b\) are integers and \(C(j,k) = \dfrac{j!}{k!(j-k)!} \) is the binomial coefficient, find \(a^b+ ab \).

If \(\, C(2n,2) = a C(n,2) + n^b \), where \(a\) and \(b\) are integers and \(C(j,k) = \dfrac{j!}{k!(j-k)!} \) is the binomial coefficient, find \(a^b+ ab \).

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