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What is the sum of 28 terms of the series,
(k^2)*(28Ck),
where (28Ck) is the number of ways of choosing k items from 28 items?

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TCS Other Question

Two breakers are kept on a table. the capacity of the first breaker is x liters and that of the second breaker is 2x. Two thirds of the 1st breaker and one fourth of the 2nd breaker is filled with wine. The remaining space in both breakers is filled with water. If the content in these breakers are mixed in a larger breaker of volume 3x, What is the proportion of wine in the breaker?
a) 11/12
b) 11/36
c) 7/6
d) 7/18
What is the sum of 28 terms in the following expressions :
(3^k)*(28Ck),
where (28Ck) 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)