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For all nN,33n26n1 is divisible by

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By Expert Faculty of Sri Chaitanya
a
24
b
64
c
17
d
676

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detailed solution

Correct option is D

We have, 33n−26n−1=27n−26n−1⇒ 33n−26n−1=(1+26)n−26n−1⇒ 33n−26n−1=nC2×262+nC3×263+…+nCn×26nClearly, RHS is divisible 262 i.e. 676.


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