(30 0) (30 10) - (30 1) (30 11) + .... + (30 20) (30 30) is equal to

Question

\(\begin{pmatrix}30\\0\end{pmatrix}\begin{pmatrix}30\\10\end{pmatrix}-\begin{pmatrix}30\\1\end{pmatrix}\begin{pmatrix}30\\11\end{pmatrix} + .....+\begin{pmatrix}30\\20\end{pmatrix}\begin{pmatrix}30\\30\end{pmatrix}\) is equal to 

(a) ³⁰C₁₁

(b) ⁶⁰C₁₀

(c) ³⁰C₁₀

(d) ⁶⁵C₅₅

Answer 1

Correct option is (c) ³⁰C₁₀