The sum of the last 30coefficients of power sof x the binomial expansion of (1+x)59 is

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258

229

228

259−229

answer is A.

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Detailed Solution

We have,(1+x)59=∑r=059 59Crxr⇒ 259=∑r=059 59Cr⇒ 259=2∑r=029 59Cr⇒ 258=∑r=029 59Cr⇒ 258=∑r=029 59C59…⇒ ∑r=029 59C59−r=258

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