TCS Company Numerical Ability Probability

There are two boxes, one containing 39 red balls & the other containing 26 green balls. You are allowed to move the balls b/w the boxes so that when you choose a box random & a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
a)60 b )50 c)80 d)30

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TCS Other Question

7 different objects divided among 3 persons .in how many ways this can be done if atleast one of them gets exactly one object? 3. What is∑


(
), where

is the number of ways of choosing k items from 28
items?
a. 406 *


b. 306 *


c. 28 *


d. 56 *