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WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Let $${(1 + x + {x^2})^9} = {a_0} + {a_1}x + {a_2}{x^2} + ... + {a_{18}}{x^{18}}$$. Then,
A
$${a_0} + {a_2} + ... + {a_{18}} = {a_1} + {a_3} + ... + {a_{17}}$$
B
$${a_0} + {a_2} + ... + {a_{18}}$$ is even
C
$${a_0} + {a_2} + ... + {a_{18}}$$ is divisible by 9
D
$${a_0} + {a_2} + ... + {a_{18}}$$ is divisible by 3 but not by 9
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