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 \( (a-b)^{2}+(b-c)^{2}+(c-a)^{2} \) is
(1) 1
(2) 2
(3) \( 2^{20} \)
(4) \( 2^{40} \)


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