if the number of integral terms in the expansion of 312+518n is exactly 33, then the least value of n is :

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248

264

128

256

answer is D.

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Detailed Solution

Tr+1=Cr n2n-r25r8 For integral terms, r8 and n-r2 must be integers.⇒ r=8,16,24,…….⇒n=t33=0+32×8=256 .

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