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  • The number of 9 digit numbers which have all distinct digits, isOption: 1 <img alt="10 !" src="https://entrancecorner.oncodecogs.com/gif.latex?10%20%

The number of 9 digit numbers which have all distinct digits, is

Option: 1

10 !


Option: 2

9 !


Option: 3

8(9 !)


Option: 4

10 !-9 !


Answers (1)

best_answer

The required number of ways = The number of ways of permuting nine digits out of ten digits 0,1,2, \ldots, 9

The number of ways of permuting nine digits out of a digits 1,2, \ldots, 9

={ }^{10} P_{9}-{ }^{9} P_{9}=\frac{10 !}{1 !}-9 !=10 !-9 !

Posted by

Irshad Anwar

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