1.

The value of\[\left( \begin{matrix} 30 \\ 0 \\ \end{matrix} \right)\left( \begin{matrix} 30 \\ 10 \\ \end{matrix} \right)-\left( \begin{matrix} 30 \\ 1 \\ \end{matrix} \right)\left( \begin{matrix} 30 \\ 11 \\ \end{matrix} \right)+\left( \begin{matrix} 30 \\ 2 \\ \end{matrix} \right)\left( \begin{matrix} 30 \\ 12 \\ \end{matrix} \right)...\]\[+\left( \begin{matrix} 30 \\ 20 \\ \end{matrix} \right)\left( \begin{matrix} 30 \\ 30 \\ \end{matrix} \right)\] is where \[\left( \begin{matrix} n \\ r \\ \end{matrix} \right)={{\,}^{n}}{{C}_{r}}\]

A. \[\left( \begin{matrix} 30 \\ 10 \\ \end{matrix} \right)\]
B. \[\left( \begin{matrix} 30 \\ 15 \\ \end{matrix} \right)\]
C. \[\left( \begin{matrix} 60 \\ 30 \\ \end{matrix} \right)\]
D. \[\left( \begin{matrix} 31 \\ 10 \\ \end{matrix} \right)\]
Answer» B. \[\left( \begin{matrix} 30 \\ 15 \\ \end{matrix} \right)\]


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