A probability problem by Naren Bhandari

How many numbers are there between 100 and 1000 in which all the digits are distinct?


The answer is 648.

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1 solution

Md Zuhair
Feb 13, 2017

Relevant wiki: Rule of Product - Intermediate

Here we can see that there are three possible places for the numbers _ _ __ .

In first place we can put all numbers from 1 to 9 . [ So 9 \boxed{9} Numbers]

In second place there are Again 9 \boxed{9} possible numbers , exculding the one we used last time and Including 0 this time.

So Now we have 8 \boxed{8} numbers for the next place .

Hence The total numbers = 9 9 8 = 648 \boxed{9 * 9 * 8} = \boxed{648}

Did the same way!

I Gede Arya Raditya Parameswara - 4 years, 3 months ago

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