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The total number of 9-digit numbers which have all different digits is
A. 10!
B. 9!
C. 9 × 9!
D. 10×10!

 

Answers (1)

The answer is the option (c).

We have to form 9-digit number, which has all different digits.

First digit from the left can be filled in 9 ways excluding 0. After this, nine digits are left including ‘0’.  Remaining 8 places can be filled with these nine digits in ^9P_8 ways.  So, total numbers= 9* ^9P_8 =9*9!

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