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

CAT/2004

Question . 25

In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how manydistinct routes can a car reach point B from point A?

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Explanatory Answer

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

(b) The car requires 3 steps north and 5 steps west so asto reach B.

Hence, total no. of ways = 8!/5!3! = (8×7×6)/6 = 56