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

CAT/1997

Question . 62

In how many ways can the eight directors, the vice-chairman and the chairman of a firm be seated at a round-table, if the chairman has to sit between the vice-chairman and the director?

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Explanatory Answer

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

(b) Let the vice-chairman and the chairman from 1 unit along with the eight directors, we now have to arrange 9 different units in a circle. This can be done in 8! ways. At the same time, the vice-Chairman & the chairman can be arranged in two different ways. Therefore, the total number of ways = 2 × 8!.