Passage Type Question If \( a={ }^{20} C_{0}+{ }^{20} C_{3}+{ }^{20} C_{6}+{ }^{20} C_{9}+\ldots....

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Passage Type Question
\( \mathrm{P} \)
If \( a={ }^{20} C_{0}+{ }^{20} C_{3}+{ }^{20} C_{6}+{ }^{20} C_{9}+\ldots, b={ }^{20} C_{1}+{ }^{20} C_{4}+ \)
W
\( { }^{20} C_{7}+\ldots \) and \( c={ }^{20} C_{2}+{ }^{20} C_{5}+{ }^{20} C_{8}+\ldots \) then
Value of \( a^{3}+b^{3}+c^{3}-3 a b c \) is
(1) \( 2^{10} \)
(2) \( 2^{20} \)
(3) 0
(4) \( 2^{19} \)


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