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If 2⋅310+22⋅39+⋯+210⋅3=6K2 \cdot 3^{10} + 2^{2} \cdot 3^{9} + \cdots + 2^{10} \cdot 3 = 6K, then the remainder when KK is divided by 66 is
Binomial Theorem and Its Simple Applications - Medium - Question