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Questions  

Sum of the last 12 coefficients of in the binomial expansion of (1 + x)23 is:

a
222
b
223
c
223-23C11
d
223-211

detailed solution

Correct option is A

Sum of last 12 coefficients isS=23C12+23C13+…+23C23Using  nCr=nCn−r we getS=23C11+23C10+…+23C0Adding (1) and (2), we get2S=23C0+23C1+…23C23=223⇒ S=222

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