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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: The number of numbers are there between 100 and 1000 in which all the digits are distinct
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spideyunlimited (4221)

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Olaaa!! Perrrfect answer. 705  [1053 rates]

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Let the number be _ _ _
First place can be filled in 9 ways : 1 to 9
2nd place again in 9 ways : omitting the digit used in irst place but now we can use 0 also.
3rd place: 8 ways as we now we have one digit lesser than earlier if we want to prevent repitition.
so answer is 9 x 9 x 8 = 648 such numbers. :)

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- Gaurav Ragtah (spideyunlimited)
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