Q.
Sum of the last 30 coefficients of powers of x in the binomial expansion of (1+x)59 is
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a
229
b
228
c
259-229
d
258
answer is D.
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Detailed Solution
Let S= some of the last 30 coefficients in (1+x)59=59C30+59C31+…+59C59 (1)Using nCr=nCn−r, we getS=59C29+59C28+…+59C0 (2)Adding (1) and (2), we get2S=59C0+59C1+…+59C59=259⇒S=258
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