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

CAT/2003

Question . 28

How many three digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s place respectively, exist such that x<y, z< y and x≠0?

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