GMAT Quantitative Reasoning Practice Test 4

Question : 59 of 100

Marks: +1, -0

How many 3-digit numbers satisfy the following conditions: The first digit is different from zero and the other digits are all different from each other?

Validate

Solution:

For the first digit you have 9 options (from 1 to 9 without 0), for the second number you have 9 options as well (0 to 9 minus the first digit that was already used) and for the third digit you have 8 options left
So the number of possibilities is

9 × 9 × 8=648

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