Answer: 26244 five-digit natural numbers contain exactly one 0.
There are total 10 digits. 0-9.
For a five digit natural number the first digit can not be 0. So the first digit has 9 choices.
We can place the only one zero in the last 4 places.
When the zero is places then the rest three places can be filled in 9 ways each. [because except 0].
So the total number of five-digit natural numbers contain exactly one 0 is:
[tex]4*9*9*9*9=26244[/tex].
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