TCS Company Numerical Ability Time and Work

What is $sumlimits_{K = 0}^{28} {{3^K}(_K^{28}C)} $ where ${}_K^{28}C$ is the number of ways of choosing k items from 28 items?
a. ${2^{56}}$
b. 3* ${2^{27}}$
c. ${3^{29}}$
d. 3* ${4^{27}}$

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TCS Other Question

What is $sumlimits_{K = 0}^{28} {{K^2}(_K^{28}C)} $ where $_K^{28}C$ is the number of ways of choosing k items from 28 items?
a. 406 * ${2^{27}}$
b. 306 * ${2^{26}}$
c. 28 * ${2^{27}}$
d. 56 * ${2^{27}}$ What is the largest integer that divides all three numbers 23400,272304,205248 without leaving a remainder?