CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions

CAT/2004

Question . 26

A new flag is to be designed with six vertical stripes using some or all of the colours yellow, green, blue and red. Then, the numberof ways this can be done such that no two adjacent stripes have the same colour out is

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question

(a) There are 6 stripes. The first stripe can be coloured in4 ways, 2nd in 3, 3rd in 3, and so on. Thus total no. ofways = 4 × 3 × 3 × 3 × 3 × 3 = 12 × 81.