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in Mathematics by (54.8k points)

How many four-digits numbers are there with no digit repeated? 

1 Answer

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Best answer

Given : 0 to 9 digits (10 digits) 

To find : 4-digit numbers

First, thousand’s place on be filled by 9 ways from any one of the 1 to 9 digits (v ‘0’ (zero) is not placed in thousand’s place). 

Then the remaining three places can be filled with the remaining 9 digits in 9P3 ways. 

∴ Required number of numbers = 9 x 9P3 

= 9 x (9 x 8 x 7) = 4536

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