## Quant Question Of The Day: 178

**Counting**

**How many positive integers less than 1200 have no repeating digits ?**

**(no repeating digits means no digit occurs more than once)**

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Quant question of the day, Question of the day

**How many positive integers less than 1200 have no repeating digits ?**

**(no repeating digits means no digit occurs more than once)**

**There are 9 such 1-digit numbers, **

**9×9 = 81 such 2- digit numbers (since the first digit can be 1 to 9 and the second digit any other number from 0 to 9).**

**Similarly the number of such 3-digit numbers is 9×9×8 = 648, since the third digit cannot equal to either of the first two. **

**For 4-digit numbers beginning 10, there are 8×7 and there are none beginning 11.**

**Hence , 9 + 81 + 648 + 56 = 794**

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