Aug 30, 2013

1307 : Permutation Combination CAT 2000

One red flag, three white flags and two blue flags are arranged in a line such that:

I. No two adjacent flags are of the same colour
II. The flags at the two ends of the line are of different colours

In how many different ways can the flags be arranged?
   a. 6    b. 4    c. 10   d. 2


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Soln : 63. a The possibilities are W@W@W@ (or) @W@W@W,
where 2 blue and 1 red flag occupy the space marked
as @. Hence, the total permutation is 2(3!/2!) = 6

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