TCS Company

. After the typist wr ites 12 letters and addresses 12 envelopes, she inserts the letters
randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1
letter is inserted in an improper envelope?

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TCS Other Question
. 36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words,
there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36,
a1}. Then size of the smallest set of people such that the rest have shaken hands with at least
one person in the set is
a)12 b)11 c)13 d)18
 There are two boxes, one containing 10 r ed balls and the other containing 10 green
balls. You are allowed to move the balls between the boxes so that when you choose a box at
random and a ball at random from the chosen box, the probability of getting a red ball is
maximized. T his maximum probability is
a)1/2 b)14/19 c)37/38 d)3/4