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Using the digits 2 through 9, find the number of 6-digit numbers such that digits can be repeated and must be written in not-decreasing order. 

 

Thanks!

 Mar 15, 2021
edited by lokiisnotdead  Mar 15, 2021
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I'm not great at math but I'll try my best. 

I think we should find all the 6 digit numbers, and then find the number of them in decreasing order. 

The number of 6 digit numbers is 8^6. 

The number of digits in decreasing order is just the number of digits possible.  

With the digits 1234356, there is only 1 way of putting it in decreased order. 

So the number of ways possible where 123 is the same as 321 or 213.

 

I hope this helped. :))

=^._.^=

 Mar 15, 2021

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