tcs Exam Numerical Ability Permutation and Combination

Q1. 1 red flag, 3 white flags and 2 blue flags are arranged in a line
such that:
I. No two adjacent flags are of the same colour
II. The flags at the ends are of 2 different colours.
In how many different ways the flags be arranged?

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tcs Other Question

In the IT department of backrub, the administrator password is changed every month. The team of administrators, spread across the globe, receive an 8 digit number via email. This number is to be prefixed with a single digit number and suffixed with a single digit number to get the actual password. The password is divisible by 11 and 8. If the team received 65351364 this month, then which of the following pairs give prefix and suffix respectively.
a. 8, 9
b. 7, 8
c. 3, 4
Tickets are numbered from 1, 2....1100 and one card is drawn randomly what
is the probability of having 2 as a digit?
a ) 290/1100 b) 291/1100 c) 292/1100 d) 390/1100