Jalaiah Unnam (B.Tech 1970) has been selected as an Enterpreneur of the Year by the U.S. Small Business Administration (SBA). He and his wife Vijaya will be participating in the ceremonies at the White House on 12 and 13 April, with a breakfast with President Bush. The US SBA selectes each year 10 top notch individuals, one from each of the ten regions of the USA, based on their contributions to the national economic advancement. Jalaiah will be representing Region III.
If the sum of the coefficients in the expansion of $(x+y)^n$ is 4096, then the greatest coefficient in the expansion is _ _ _ _ . Solution $C_0 + C_1 + C_2 + C_3 + ......................... + C_n =4096 $ $\therefore 2^n = 4096 =2^{12} $ $\Rightarrow n = 12 $ Greatest coefficient = ${}^{12}{C_6} = 924$