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Grade 12th PassAlgebra

The sum of the binomial coefficients of align=absMiddle is equal to 256 . The constant term in the expansion is
1120
2110
1210
none

Profile image of VISHWESH RAVI
16 Years agoGrade 12th Pass
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1 Answer

Profile image of Nehal Wani
16 Years ago

[2x+1/x]n

Sum of binomial coefficients:

nC0+ nC1+ nC2+ nC3+………………….+ nCn+ nCn=2n

256=2n

Therefore n=8

Tr=nCr(2x)n-r(x)-r= nCr2n-rxn-2r= 8Cr28-rx8-2r

8-2r=0

⇒  r=4

8Cr28-rx8=8C424=1120