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

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