The value of \[\left( \begin{matrix} 30 \\ 0 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 10 \\\end{matrix} \right)-\left( \begin{matrix} 30 \\ 1 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 11 \\\end{matrix} \right)+\left( \begin{matrix} 30 \\ 2 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 12 \\\end{matrix} \right)+......+\left( \begin{matrix} 30 \\ 20 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 30 \\\end{matrix} \right)\][IIT Screening 2005]

The value of \[\left( \begin{matrix} 30 \\ 0 \\\end{matri

1.	The value of \[\left( \begin{matrix} 30 \\ 0 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 10 \\\end{matrix} \right)-\left( \begin{matrix} 30 \\ 1 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 11 \\\end{matrix} \right)+\left( \begin{matrix} 30 \\ 2 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 12 \\\end{matrix} \right)+......+\left( \begin{matrix} 30 \\ 20 \\\end{matrix} \right)\left( \begin{matrix} 30 \\ 30 \\\end{matrix} \right)\][IIT Screening 2005]
A.	\[^{60}{{C}_{20}}\]
B.	\[^{30}{{C}_{10}}\]
C.	\[^{60}{{C}_{30}}\]
D.	\[^{40}{{C}_{30}}\]
Answer» C. \[^{60}{{C}_{30}}\]

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